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Finding the Fourth Proportional to 587,686.90, 883,409.55 and 546,085.30

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Solution

The fourth proportional to 587,686.90, 883,409.55 and 546,085.30 is: 820,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,686.90 : 883,409.55 = 546,085.30 : x
  2. Step 2: Convert to fraction form
    587,686.90/883,409.55 = 546,085.30/x
  3. Step 3: Cross multiply
    587,686.90x = 883,409.55 × 546,085.30
  4. Step 4: Simplify right side
    587,686.90x = 482,416,969,134.62
  5. Step 5: Solve for x
    x = 482,416,969,134.62/587,686.90
  6. Step 6: Final answer
    x = 820,874.12

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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.