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Finding the Fourth Proportional to 342,061.60, 512,314.80 and 175,655.20

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Solution

The fourth proportional to 342,061.60, 512,314.80 and 175,655.20 is: 263,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,061.60 : 512,314.80 = 175,655.20 : x
  2. Step 2: Convert to fraction form
    342,061.60/512,314.80 = 175,655.20/x
  3. Step 3: Cross multiply
    342,061.60x = 512,314.80 × 175,655.20
  4. Step 4: Simplify right side
    342,061.60x = 89,990,758,656.96
  5. Step 5: Solve for x
    x = 89,990,758,656.96/342,061.60
  6. Step 6: Final answer
    x = 263,083.49

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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.