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Finding the Fourth Proportional to 869,957.72, 1,200,294.96 and 507,397.40

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Solution

The fourth proportional to 869,957.72, 1,200,294.96 and 507,397.40 is: 700,064.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,957.72 : 1,200,294.96 = 507,397.40 : x
  2. Step 2: Convert to fraction form
    869,957.72/1,200,294.96 = 507,397.40/x
  3. Step 3: Cross multiply
    869,957.72x = 1,200,294.96 × 507,397.40
  4. Step 4: Simplify right side
    869,957.72x = 609,026,541,937.10
  5. Step 5: Solve for x
    x = 609,026,541,937.10/869,957.72
  6. Step 6: Final answer
    x = 700,064.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.