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Finding the Fourth Proportional to 452,326.75, 678,801.17 and 156,838.75

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Solution

The fourth proportional to 452,326.75, 678,801.17 and 156,838.75 is: 235,365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,326.75 : 678,801.17 = 156,838.75 : x
  2. Step 2: Convert to fraction form
    452,326.75/678,801.17 = 156,838.75/x
  3. Step 3: Cross multiply
    452,326.75x = 678,801.17 × 156,838.75
  4. Step 4: Simplify right side
    452,326.75x = 106,462,327,001.34
  5. Step 5: Solve for x
    x = 106,462,327,001.34/452,326.75
  6. Step 6: Final answer
    x = 235,365.98

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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.