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Finding the Fourth Proportional to 498,465.60, 747,698.40 and 441,384.90

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Solution

The fourth proportional to 498,465.60, 747,698.40 and 441,384.90 is: 662,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,465.60 : 747,698.40 = 441,384.90 : x
  2. Step 2: Convert to fraction form
    498,465.60/747,698.40 = 441,384.90/x
  3. Step 3: Cross multiply
    498,465.60x = 747,698.40 × 441,384.90
  4. Step 4: Simplify right side
    498,465.60x = 330,022,783,514.16
  5. Step 5: Solve for x
    x = 330,022,783,514.16/498,465.60
  6. Step 6: Final answer
    x = 662,077.35

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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.