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Finding the Fourth Proportional to 435,741.40, 653,126.10 and 169,413.40

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Solution

The fourth proportional to 435,741.40, 653,126.10 and 169,413.40 is: 253,931.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,741.40 : 653,126.10 = 169,413.40 : x
  2. Step 2: Convert to fraction form
    435,741.40/653,126.10 = 169,413.40/x
  3. Step 3: Cross multiply
    435,741.40x = 653,126.10 × 169,413.40
  4. Step 4: Simplify right side
    435,741.40x = 110,648,313,229.74
  5. Step 5: Solve for x
    x = 110,648,313,229.74/435,741.40
  6. Step 6: Final answer
    x = 253,931.15

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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.