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Finding the Fourth Proportional to 564,885.80, 847,445.32 and 165,539.60

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Solution

The fourth proportional to 564,885.80, 847,445.32 and 165,539.60 is: 248,343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,885.80 : 847,445.32 = 165,539.60 : x
  2. Step 2: Convert to fraction form
    564,885.80/847,445.32 = 165,539.60/x
  3. Step 3: Cross multiply
    564,885.80x = 847,445.32 × 165,539.60
  4. Step 4: Simplify right side
    564,885.80x = 140,285,759,294.67
  5. Step 5: Solve for x
    x = 140,285,759,294.67/564,885.80
  6. Step 6: Final answer
    x = 248,343.58

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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.