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Finding the Fourth Proportional to 599,864.32, 827,276.25 and 497,727.91

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Solution

The fourth proportional to 599,864.32, 827,276.25 and 497,727.91 is: 686,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,864.32 : 827,276.25 = 497,727.91 : x
  2. Step 2: Convert to fraction form
    599,864.32/827,276.25 = 497,727.91/x
  3. Step 3: Cross multiply
    599,864.32x = 827,276.25 × 497,727.91
  4. Step 4: Simplify right side
    599,864.32x = 411,758,478,905.14
  5. Step 5: Solve for x
    x = 411,758,478,905.14/599,864.32
  6. Step 6: Final answer
    x = 686,419.35

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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.