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Finding the Fourth Proportional to 342,470.48, 513,809.16 and 102,592.16

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Solution

The fourth proportional to 342,470.48, 513,809.16 and 102,592.16 is: 153,919.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,470.48 : 513,809.16 = 102,592.16 : x
  2. Step 2: Convert to fraction form
    342,470.48/513,809.16 = 102,592.16/x
  3. Step 3: Cross multiply
    342,470.48x = 513,809.16 × 102,592.16
  4. Step 4: Simplify right side
    342,470.48x = 52,712,791,552.19
  5. Step 5: Solve for x
    x = 52,712,791,552.19/342,470.48
  6. Step 6: Final answer
    x = 153,919.23

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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.