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Finding the Fourth Proportional to 342,117.60, 513,176.40 and 253,762.80

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Solution

The fourth proportional to 342,117.60, 513,176.40 and 253,762.80 is: 380,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,117.60 : 513,176.40 = 253,762.80 : x
  2. Step 2: Convert to fraction form
    342,117.60/513,176.40 = 253,762.80/x
  3. Step 3: Cross multiply
    342,117.60x = 513,176.40 × 253,762.80
  4. Step 4: Simplify right side
    342,117.60x = 130,225,080,157.92
  5. Step 5: Solve for x
    x = 130,225,080,157.92/342,117.60
  6. Step 6: Final answer
    x = 380,644.20

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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.