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Finding the Fourth Proportional to 498,200.40, 749,268.90 and 447,024.60

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Solution

The fourth proportional to 498,200.40, 749,268.90 and 447,024.60 is: 672,303.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,200.40 : 749,268.90 = 447,024.60 : x
  2. Step 2: Convert to fraction form
    498,200.40/749,268.90 = 447,024.60/x
  3. Step 3: Cross multiply
    498,200.40x = 749,268.90 × 447,024.60
  4. Step 4: Simplify right side
    498,200.40x = 334,941,630,314.94
  5. Step 5: Solve for x
    x = 334,941,630,314.94/498,200.40
  6. Step 6: Final answer
    x = 672,303.01

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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.