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Finding the Fourth Proportional to 564,543.27, 846,841.77 and 180,332.93

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Solution

The fourth proportional to 564,543.27, 846,841.77 and 180,332.93 is: 270,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,543.27 : 846,841.77 = 180,332.93 : x
  2. Step 2: Convert to fraction form
    564,543.27/846,841.77 = 180,332.93/x
  3. Step 3: Cross multiply
    564,543.27x = 846,841.77 × 180,332.93
  4. Step 4: Simplify right side
    564,543.27x = 152,713,459,747.59
  5. Step 5: Solve for x
    x = 152,713,459,747.59/564,543.27
  6. Step 6: Final answer
    x = 270,507.98

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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.