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Finding the Fourth Proportional to 354,178.05, 531,424.10 and 185,658.15

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Solution

The fourth proportional to 354,178.05, 531,424.10 and 185,658.15 is: 278,569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,178.05 : 531,424.10 = 185,658.15 : x
  2. Step 2: Convert to fraction form
    354,178.05/531,424.10 = 185,658.15/x
  3. Step 3: Cross multiply
    354,178.05x = 531,424.10 × 185,658.15
  4. Step 4: Simplify right side
    354,178.05x = 98,663,211,686.00
  5. Step 5: Solve for x
    x = 98,663,211,686.00/354,178.05
  6. Step 6: Final answer
    x = 278,569.53

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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.