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Finding the Fourth Proportional to 664,864.29, 917,547.11 and 406,660.29

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Solution

The fourth proportional to 664,864.29, 917,547.11 and 406,660.29 is: 561,212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,864.29 : 917,547.11 = 406,660.29 : x
  2. Step 2: Convert to fraction form
    664,864.29/917,547.11 = 406,660.29/x
  3. Step 3: Cross multiply
    664,864.29x = 917,547.11 × 406,660.29
  4. Step 4: Simplify right side
    664,864.29x = 373,129,973,841.26
  5. Step 5: Solve for x
    x = 373,129,973,841.26/664,864.29
  6. Step 6: Final answer
    x = 561,212.23

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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.