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Finding the Fourth Proportional to 452,294.50, 678,752.79 and 156,806.50

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Solution

The fourth proportional to 452,294.50, 678,752.79 and 156,806.50 is: 235,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,294.50 : 678,752.79 = 156,806.50 : x
  2. Step 2: Convert to fraction form
    452,294.50/678,752.79 = 156,806.50/x
  3. Step 3: Cross multiply
    452,294.50x = 678,752.79 × 156,806.50
  4. Step 4: Simplify right side
    452,294.50x = 106,432,849,365.14
  5. Step 5: Solve for x
    x = 106,432,849,365.14/452,294.50
  6. Step 6: Final answer
    x = 235,317.58

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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.