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Finding the Fourth Proportional to 316,411.69, 474,656.72 and 116,733.13

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Solution

The fourth proportional to 316,411.69, 474,656.72 and 116,733.13 is: 175,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,411.69 : 474,656.72 = 116,733.13 : x
  2. Step 2: Convert to fraction form
    316,411.69/474,656.72 = 116,733.13/x
  3. Step 3: Cross multiply
    316,411.69x = 474,656.72 × 116,733.13
  4. Step 4: Simplify right side
    316,411.69x = 55,408,164,601.13
  5. Step 5: Solve for x
    x = 55,408,164,601.13/316,411.69
  6. Step 6: Final answer
    x = 175,114.15

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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.