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Finding the Fourth Proportional to 305,028.76, 457,543.12 and 83,412.76

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Solution

The fourth proportional to 305,028.76, 457,543.12 and 83,412.76 is: 125,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,028.76 : 457,543.12 = 83,412.76 : x
  2. Step 2: Convert to fraction form
    305,028.76/457,543.12 = 83,412.76/x
  3. Step 3: Cross multiply
    305,028.76x = 457,543.12 × 83,412.76
  4. Step 4: Simplify right side
    305,028.76x = 38,164,934,458.21
  5. Step 5: Solve for x
    x = 38,164,934,458.21/305,028.76
  6. Step 6: Final answer
    x = 125,119.13

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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.