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Finding the Fourth Proportional to 402,130.80, 602,904.60 and 165,351.60

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Solution

The fourth proportional to 402,130.80, 602,904.60 and 165,351.60 is: 247,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,130.80 : 602,904.60 = 165,351.60 : x
  2. Step 2: Convert to fraction form
    402,130.80/602,904.60 = 165,351.60/x
  3. Step 3: Cross multiply
    402,130.80x = 602,904.60 × 165,351.60
  4. Step 4: Simplify right side
    402,130.80x = 99,691,240,257.36
  5. Step 5: Solve for x
    x = 99,691,240,257.36/402,130.80
  6. Step 6: Final answer
    x = 247,907.50

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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.