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Finding the Fourth Proportional to 564,766.43, 847,186.43 and 185,585.72

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Solution

The fourth proportional to 564,766.43, 847,186.43 and 185,585.72 is: 278,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,766.43 : 847,186.43 = 185,585.72 : x
  2. Step 2: Convert to fraction form
    564,766.43/847,186.43 = 185,585.72/x
  3. Step 3: Cross multiply
    564,766.43x = 847,186.43 × 185,585.72
  4. Step 4: Simplify right side
    564,766.43x = 157,225,698,421.92
  5. Step 5: Solve for x
    x = 157,225,698,421.92/564,766.43
  6. Step 6: Final answer
    x = 278,390.66

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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.