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Finding the Fourth Proportional to 514,833.60, 772,250.40 and 278,637.60

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Solution

The fourth proportional to 514,833.60, 772,250.40 and 278,637.60 is: 417,956.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,833.60 : 772,250.40 = 278,637.60 : x
  2. Step 2: Convert to fraction form
    514,833.60/772,250.40 = 278,637.60/x
  3. Step 3: Cross multiply
    514,833.60x = 772,250.40 × 278,637.60
  4. Step 4: Simplify right side
    514,833.60x = 215,177,998,055.04
  5. Step 5: Solve for x
    x = 215,177,998,055.04/514,833.60
  6. Step 6: Final answer
    x = 417,956.40

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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.