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Finding the Fourth Proportional to 512,602.94, 768,925.76 and 175,875.20

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Solution

The fourth proportional to 512,602.94, 768,925.76 and 175,875.20 is: 263,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,602.94 : 768,925.76 = 175,875.20 : x
  2. Step 2: Convert to fraction form
    512,602.94/768,925.76 = 175,875.20/x
  3. Step 3: Cross multiply
    512,602.94x = 768,925.76 × 175,875.20
  4. Step 4: Simplify right side
    512,602.94x = 135,234,967,101.15
  5. Step 5: Solve for x
    x = 135,234,967,101.15/512,602.94
  6. Step 6: Final answer
    x = 263,820.12

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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.