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Finding the Fourth Proportional to 535,543.56, 803,318.10 and 180,560.66

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Solution

The fourth proportional to 535,543.56, 803,318.10 and 180,560.66 is: 270,841.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,543.56 : 803,318.10 = 180,560.66 : x
  2. Step 2: Convert to fraction form
    535,543.56/803,318.10 = 180,560.66/x
  3. Step 3: Cross multiply
    535,543.56x = 803,318.10 × 180,560.66
  4. Step 4: Simplify right side
    535,543.56x = 145,047,641,632.25
  5. Step 5: Solve for x
    x = 145,047,641,632.25/535,543.56
  6. Step 6: Final answer
    x = 270,841.91

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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.