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Finding the Fourth Proportional to 498,524.16, 747,164.16 and 249,277.44

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Solution

The fourth proportional to 498,524.16, 747,164.16 and 249,277.44 is: 373,605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,524.16 : 747,164.16 = 249,277.44 : x
  2. Step 2: Convert to fraction form
    498,524.16/747,164.16 = 249,277.44/x
  3. Step 3: Cross multiply
    498,524.16x = 747,164.16 × 249,277.44
  4. Step 4: Simplify right side
    498,524.16x = 186,251,169,064.55
  5. Step 5: Solve for x
    x = 186,251,169,064.55/498,524.16
  6. Step 6: Final answer
    x = 373,605.10

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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.