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Finding the Fourth Proportional to 415,510.69, 623,266.03 and 99,967.59

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Solution

The fourth proportional to 415,510.69, 623,266.03 and 99,967.59 is: 149,951.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,510.69 : 623,266.03 = 99,967.59 : x
  2. Step 2: Convert to fraction form
    415,510.69/623,266.03 = 99,967.59/x
  3. Step 3: Cross multiply
    415,510.69x = 623,266.03 × 99,967.59
  4. Step 4: Simplify right side
    415,510.69x = 62,306,402,698.05
  5. Step 5: Solve for x
    x = 62,306,402,698.05/415,510.69
  6. Step 6: Final answer
    x = 149,951.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.