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Finding the Fourth Proportional to 512,000.64, 767,428.70 and 191,844.50

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Solution

The fourth proportional to 512,000.64, 767,428.70 and 191,844.50 is: 287,552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,000.64 : 767,428.70 = 191,844.50 : x
  2. Step 2: Convert to fraction form
    512,000.64/767,428.70 = 191,844.50/x
  3. Step 3: Cross multiply
    512,000.64x = 767,428.70 × 191,844.50
  4. Step 4: Simplify right side
    512,000.64x = 147,226,970,440.78
  5. Step 5: Solve for x
    x = 147,226,970,440.78/512,000.64
  6. Step 6: Final answer
    x = 287,552.32

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.