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Finding the Fourth Proportional to 475,300.51, 712,951.28 and 120,314.53

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Solution

The fourth proportional to 475,300.51, 712,951.28 and 120,314.53 is: 180,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,300.51 : 712,951.28 = 120,314.53 : x
  2. Step 2: Convert to fraction form
    475,300.51/712,951.28 = 120,314.53/x
  3. Step 3: Cross multiply
    475,300.51x = 712,951.28 × 120,314.53
  4. Step 4: Simplify right side
    475,300.51x = 85,778,396,684.51
  5. Step 5: Solve for x
    x = 85,778,396,684.51/475,300.51
  6. Step 6: Final answer
    x = 180,471.92

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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.