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Finding the Fourth Proportional to 276,041.60, 413,552.10 and 157,360.40

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Solution

The fourth proportional to 276,041.60, 413,552.10 and 157,360.40 is: 235,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,041.60 : 413,552.10 = 157,360.40 : x
  2. Step 2: Convert to fraction form
    276,041.60/413,552.10 = 157,360.40/x
  3. Step 3: Cross multiply
    276,041.60x = 413,552.10 × 157,360.40
  4. Step 4: Simplify right side
    276,041.60x = 65,076,723,876.84
  5. Step 5: Solve for x
    x = 65,076,723,876.84/276,041.60
  6. Step 6: Final answer
    x = 235,749.70

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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.