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Finding the Fourth Proportional to 522,825.90, 785,016.45 and 404,630.70

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Solution

The fourth proportional to 522,825.90, 785,016.45 and 404,630.70 is: 607,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,825.90 : 785,016.45 = 404,630.70 : x
  2. Step 2: Convert to fraction form
    522,825.90/785,016.45 = 404,630.70/x
  3. Step 3: Cross multiply
    522,825.90x = 785,016.45 × 404,630.70
  4. Step 4: Simplify right side
    522,825.90x = 317,641,755,675.02
  5. Step 5: Solve for x
    x = 317,641,755,675.02/522,825.90
  6. Step 6: Final answer
    x = 607,547.86

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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.