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Finding the Fourth Proportional to 434,562.30, 651,454.65 and 284,874.30

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Solution

The fourth proportional to 434,562.30, 651,454.65 and 284,874.30 is: 427,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,562.30 : 651,454.65 = 284,874.30 : x
  2. Step 2: Convert to fraction form
    434,562.30/651,454.65 = 284,874.30/x
  3. Step 3: Cross multiply
    434,562.30x = 651,454.65 × 284,874.30
  4. Step 4: Simplify right side
    434,562.30x = 185,582,687,400.50
  5. Step 5: Solve for x
    x = 185,582,687,400.50/434,562.30
  6. Step 6: Final answer
    x = 427,056.57

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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.