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Finding the Fourth Proportional to 709,097.24, 978,547.94 and 386,800.41

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Solution

The fourth proportional to 709,097.24, 978,547.94 and 386,800.41 is: 533,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,097.24 : 978,547.94 = 386,800.41 : x
  2. Step 2: Convert to fraction form
    709,097.24/978,547.94 = 386,800.41/x
  3. Step 3: Cross multiply
    709,097.24x = 978,547.94 × 386,800.41
  4. Step 4: Simplify right side
    709,097.24x = 378,502,744,396.66
  5. Step 5: Solve for x
    x = 378,502,744,396.66/709,097.24
  6. Step 6: Final answer
    x = 533,781.16

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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.