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Finding the Fourth Proportional to 652,362.60, 978,543.90 and 413,214.15

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Solution

The fourth proportional to 652,362.60, 978,543.90 and 413,214.15 is: 619,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,362.60 : 978,543.90 = 413,214.15 : x
  2. Step 2: Convert to fraction form
    652,362.60/978,543.90 = 413,214.15/x
  3. Step 3: Cross multiply
    652,362.60x = 978,543.90 × 413,214.15
  4. Step 4: Simplify right side
    652,362.60x = 404,348,185,876.19
  5. Step 5: Solve for x
    x = 404,348,185,876.19/652,362.60
  6. Step 6: Final answer
    x = 619,821.23

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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.