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Finding the Fourth Proportional to 429,134.41, 643,813.78 and 249,046.72

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Solution

The fourth proportional to 429,134.41, 643,813.78 and 249,046.72 is: 373,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,134.41 : 643,813.78 = 249,046.72 : x
  2. Step 2: Convert to fraction form
    429,134.41/643,813.78 = 249,046.72/x
  3. Step 3: Cross multiply
    429,134.41x = 643,813.78 × 249,046.72
  4. Step 4: Simplify right side
    429,134.41x = 160,339,706,980.73
  5. Step 5: Solve for x
    x = 160,339,706,980.73/429,134.41
  6. Step 6: Final answer
    x = 373,635.17

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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.