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Finding the Fourth Proportional to 565,141.33, 847,392.85 and 185,959.81

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Solution

The fourth proportional to 565,141.33, 847,392.85 and 185,959.81 is: 278,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,141.33 : 847,392.85 = 185,959.81 : x
  2. Step 2: Convert to fraction form
    565,141.33/847,392.85 = 185,959.81/x
  3. Step 3: Cross multiply
    565,141.33x = 847,392.85 × 185,959.81
  4. Step 4: Simplify right side
    565,141.33x = 157,581,013,381.36
  5. Step 5: Solve for x
    x = 157,581,013,381.36/565,141.33
  6. Step 6: Final answer
    x = 278,834.70

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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.