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Finding the Fourth Proportional to 498,429.10, 747,643.65 and 364,584.70

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Solution

The fourth proportional to 498,429.10, 747,643.65 and 364,584.70 is: 546,877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,429.10 : 747,643.65 = 364,584.70 : x
  2. Step 2: Convert to fraction form
    498,429.10/747,643.65 = 364,584.70/x
  3. Step 3: Cross multiply
    498,429.10x = 747,643.65 × 364,584.70
  4. Step 4: Simplify right side
    498,429.10x = 272,579,435,842.16
  5. Step 5: Solve for x
    x = 272,579,435,842.16/498,429.10
  6. Step 6: Final answer
    x = 546,877.05

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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.