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Finding the Fourth Proportional to 314,877.70, 472,014.15 and 104,407.30

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Solution

The fourth proportional to 314,877.70, 472,014.15 and 104,407.30 is: 156,510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,877.70 : 472,014.15 = 104,407.30 : x
  2. Step 2: Convert to fraction form
    314,877.70/472,014.15 = 104,407.30/x
  3. Step 3: Cross multiply
    314,877.70x = 472,014.15 × 104,407.30
  4. Step 4: Simplify right side
    314,877.70x = 49,281,722,963.30
  5. Step 5: Solve for x
    x = 49,281,722,963.30/314,877.70
  6. Step 6: Final answer
    x = 156,510.68

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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.