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Finding the Fourth Proportional to 712,869.91, 983,722.85 and 406,934.13

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Solution

The fourth proportional to 712,869.91, 983,722.85 and 406,934.13 is: 561,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,869.91 : 983,722.85 = 406,934.13 : x
  2. Step 2: Convert to fraction form
    712,869.91/983,722.85 = 406,934.13/x
  3. Step 3: Cross multiply
    712,869.91x = 983,722.85 × 406,934.13
  4. Step 4: Simplify right side
    712,869.91x = 400,310,399,772.72
  5. Step 5: Solve for x
    x = 400,310,399,772.72/712,869.91
  6. Step 6: Final answer
    x = 561,547.62

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