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Finding the Fourth Proportional to 299,686.32, 413,292.96 and 234,283.68

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Solution

The fourth proportional to 299,686.32, 413,292.96 and 234,283.68 is: 323,097.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,686.32 : 413,292.96 = 234,283.68 : x
  2. Step 2: Convert to fraction form
    299,686.32/413,292.96 = 234,283.68/x
  3. Step 3: Cross multiply
    299,686.32x = 413,292.96 × 234,283.68
  4. Step 4: Simplify right side
    299,686.32x = 96,827,795,586.89
  5. Step 5: Solve for x
    x = 96,827,795,586.89/299,686.32
  6. Step 6: Final answer
    x = 323,097.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.