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Finding the Fourth Proportional to 387,276.70, 580,420.22 and 312,432.14

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Solution

The fourth proportional to 387,276.70, 580,420.22 and 312,432.14 is: 468,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,276.70 : 580,420.22 = 312,432.14 : x
  2. Step 2: Convert to fraction form
    387,276.70/580,420.22 = 312,432.14/x
  3. Step 3: Cross multiply
    387,276.70x = 580,420.22 × 312,432.14
  4. Step 4: Simplify right side
    387,276.70x = 181,341,931,433.87
  5. Step 5: Solve for x
    x = 181,341,931,433.87/387,276.70
  6. Step 6: Final answer
    x = 468,249.01

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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.