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Finding the Fourth Proportional to 707,587.05, 976,221.05 and 462,715.16

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Solution

The fourth proportional to 707,587.05, 976,221.05 and 462,715.16 is: 638,384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,587.05 : 976,221.05 = 462,715.16 : x
  2. Step 2: Convert to fraction form
    707,587.05/976,221.05 = 462,715.16/x
  3. Step 3: Cross multiply
    707,587.05x = 976,221.05 × 462,715.16
  4. Step 4: Simplify right side
    707,587.05x = 451,712,272,151.44
  5. Step 5: Solve for x
    x = 451,712,272,151.44/707,587.05
  6. Step 6: Final answer
    x = 638,384.03

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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.