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Finding the Fourth Proportional to 577,152.62, 865,728.92 and 156,428.50

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Solution

The fourth proportional to 577,152.62, 865,728.92 and 156,428.50 is: 234,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,152.62 : 865,728.92 = 156,428.50 : x
  2. Step 2: Convert to fraction form
    577,152.62/865,728.92 = 156,428.50/x
  3. Step 3: Cross multiply
    577,152.62x = 865,728.92 × 156,428.50
  4. Step 4: Simplify right side
    577,152.62x = 135,424,676,362.22
  5. Step 5: Solve for x
    x = 135,424,676,362.22/577,152.62
  6. Step 6: Final answer
    x = 234,642.75

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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.