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Finding the Fourth Proportional to 742,170.75, 1,024,197.62 and 402,639

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Solution

The fourth proportional to 742,170.75, 1,024,197.62 and 402,639 is: 555,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,170.75 : 1,024,197.62 = 402,639 : x
  2. Step 2: Convert to fraction form
    742,170.75/1,024,197.62 = 402,639/x
  3. Step 3: Cross multiply
    742,170.75x = 1,024,197.62 × 402,639
  4. Step 4: Simplify right side
    742,170.75x = 412,381,903,505.99
  5. Step 5: Solve for x
    x = 412,381,903,505.99/742,170.75
  6. Step 6: Final answer
    x = 555,642.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.