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Finding the Fourth Proportional to 457,322.02, 686,404.07 and 232,842.90

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Solution

The fourth proportional to 457,322.02, 686,404.07 and 232,842.90 is: 349,478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,322.02 : 686,404.07 = 232,842.90 : x
  2. Step 2: Convert to fraction form
    457,322.02/686,404.07 = 232,842.90/x
  3. Step 3: Cross multiply
    457,322.02x = 686,404.07 × 232,842.90
  4. Step 4: Simplify right side
    457,322.02x = 159,824,314,230.60
  5. Step 5: Solve for x
    x = 159,824,314,230.60/457,322.02
  6. Step 6: Final answer
    x = 349,478.72

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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.