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Finding the Fourth Proportional to 408,036.60, 612,054.90 and 282,065.40

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Solution

The fourth proportional to 408,036.60, 612,054.90 and 282,065.40 is: 423,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,036.60 : 612,054.90 = 282,065.40 : x
  2. Step 2: Convert to fraction form
    408,036.60/612,054.90 = 282,065.40/x
  3. Step 3: Cross multiply
    408,036.60x = 612,054.90 × 282,065.40
  4. Step 4: Simplify right side
    408,036.60x = 172,639,510,190.46
  5. Step 5: Solve for x
    x = 172,639,510,190.46/408,036.60
  6. Step 6: Final answer
    x = 423,098.10

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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.