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Finding the Fourth Proportional to 354,470.14, 531,702.47 and 88,228.88

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Solution

The fourth proportional to 354,470.14, 531,702.47 and 88,228.88 is: 132,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,470.14 : 531,702.47 = 88,228.88 : x
  2. Step 2: Convert to fraction form
    354,470.14/531,702.47 = 88,228.88/x
  3. Step 3: Cross multiply
    354,470.14x = 531,702.47 × 88,228.88
  4. Step 4: Simplify right side
    354,470.14x = 46,911,510,762.82
  5. Step 5: Solve for x
    x = 46,911,510,762.82/354,470.14
  6. Step 6: Final answer
    x = 132,342.63

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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.