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Finding the Fourth Proportional to 652,841.16, 978,342.42 and 519,128.04

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Solution

The fourth proportional to 652,841.16, 978,342.42 and 519,128.04 is: 777,961.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,841.16 : 978,342.42 = 519,128.04 : x
  2. Step 2: Convert to fraction form
    652,841.16/978,342.42 = 519,128.04/x
  3. Step 3: Cross multiply
    652,841.16x = 978,342.42 × 519,128.04
  4. Step 4: Simplify right side
    652,841.16x = 507,884,982,943.46
  5. Step 5: Solve for x
    x = 507,884,982,943.46/652,841.16
  6. Step 6: Final answer
    x = 777,961.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.