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Finding the Fourth Proportional to 341,642.60, 512,463.90 and 152,102.60

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Solution

The fourth proportional to 341,642.60, 512,463.90 and 152,102.60 is: 228,153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,642.60 : 512,463.90 = 152,102.60 : x
  2. Step 2: Convert to fraction form
    341,642.60/512,463.90 = 152,102.60/x
  3. Step 3: Cross multiply
    341,642.60x = 512,463.90 × 152,102.60
  4. Step 4: Simplify right side
    341,642.60x = 77,947,091,596.14
  5. Step 5: Solve for x
    x = 77,947,091,596.14/341,642.60
  6. Step 6: Final answer
    x = 228,153.90

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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.