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Finding the Fourth Proportional to 384,152.80, 575,062.80 and 342,162.40

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Solution

The fourth proportional to 384,152.80, 575,062.80 and 342,162.40 is: 512,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,152.80 : 575,062.80 = 342,162.40 : x
  2. Step 2: Convert to fraction form
    384,152.80/575,062.80 = 342,162.40/x
  3. Step 3: Cross multiply
    384,152.80x = 575,062.80 × 342,162.40
  4. Step 4: Simplify right side
    384,152.80x = 196,764,867,798.72
  5. Step 5: Solve for x
    x = 196,764,867,798.72/384,152.80
  6. Step 6: Final answer
    x = 512,204.70

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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.