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Finding the Fourth Proportional to 589,372.92, 813,952.22 and 406,088.10

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Solution

The fourth proportional to 589,372.92, 813,952.22 and 406,088.10 is: 560,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,372.92 : 813,952.22 = 406,088.10 : x
  2. Step 2: Convert to fraction form
    589,372.92/813,952.22 = 406,088.10/x
  3. Step 3: Cross multiply
    589,372.92x = 813,952.22 × 406,088.10
  4. Step 4: Simplify right side
    589,372.92x = 330,536,308,480.14
  5. Step 5: Solve for x
    x = 330,536,308,480.14/589,372.92
  6. Step 6: Final answer
    x = 560,827.10

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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.