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Finding the Fourth Proportional to 652,829.42, 978,456.69 and 337,114.22

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Solution

The fourth proportional to 652,829.42, 978,456.69 and 337,114.22 is: 505,264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,829.42 : 978,456.69 = 337,114.22 : x
  2. Step 2: Convert to fraction form
    652,829.42/978,456.69 = 337,114.22/x
  3. Step 3: Cross multiply
    652,829.42x = 978,456.69 × 337,114.22
  4. Step 4: Simplify right side
    652,829.42x = 329,851,663,853.13
  5. Step 5: Solve for x
    x = 329,851,663,853.13/652,829.42
  6. Step 6: Final answer
    x = 505,264.70

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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.