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Finding the Fourth Proportional to 305,027.60, 457,541.40 and 83,411.60

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Solution

The fourth proportional to 305,027.60, 457,541.40 and 83,411.60 is: 125,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,027.60 : 457,541.40 = 83,411.60 : x
  2. Step 2: Convert to fraction form
    305,027.60/457,541.40 = 83,411.60/x
  3. Step 3: Cross multiply
    305,027.60x = 457,541.40 × 83,411.60
  4. Step 4: Simplify right side
    305,027.60x = 38,164,260,240.24
  5. Step 5: Solve for x
    x = 38,164,260,240.24/305,027.60
  6. Step 6: Final answer
    x = 125,117.40

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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.