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Finding the Fourth Proportional to 342,004.80, 513,007.20 and 288,860.70

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Solution

The fourth proportional to 342,004.80, 513,007.20 and 288,860.70 is: 433,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,004.80 : 513,007.20 = 288,860.70 : x
  2. Step 2: Convert to fraction form
    342,004.80/513,007.20 = 288,860.70/x
  3. Step 3: Cross multiply
    342,004.80x = 513,007.20 × 288,860.70
  4. Step 4: Simplify right side
    342,004.80x = 148,187,618,897.04
  5. Step 5: Solve for x
    x = 148,187,618,897.04/342,004.80
  6. Step 6: Final answer
    x = 433,291.05

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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.