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Finding the Fourth Proportional to 585,665.52, 877,894.92 and 230,535.60

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Solution

The fourth proportional to 585,665.52, 877,894.92 and 230,535.60 is: 345,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,665.52 : 877,894.92 = 230,535.60 : x
  2. Step 2: Convert to fraction form
    585,665.52/877,894.92 = 230,535.60/x
  3. Step 3: Cross multiply
    585,665.52x = 877,894.92 × 230,535.60
  4. Step 4: Simplify right side
    585,665.52x = 202,386,032,119.15
  5. Step 5: Solve for x
    x = 202,386,032,119.15/585,665.52
  6. Step 6: Final answer
    x = 345,565.90

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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.