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Finding the Fourth Proportional to 472,281.36, 708,273 and 187,848.24

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Solution

The fourth proportional to 472,281.36, 708,273 and 187,848.24 is: 281,713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,281.36 : 708,273 = 187,848.24 : x
  2. Step 2: Convert to fraction form
    472,281.36/708,273 = 187,848.24/x
  3. Step 3: Cross multiply
    472,281.36x = 708,273 × 187,848.24
  4. Step 4: Simplify right side
    472,281.36x = 133,047,836,489.52
  5. Step 5: Solve for x
    x = 133,047,836,489.52/472,281.36
  6. Step 6: Final answer
    x = 281,713.08

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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.