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Finding the Fourth Proportional to 410,096.46, 615,283.29 and 258,407.58

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Solution

The fourth proportional to 410,096.46, 615,283.29 and 258,407.58 is: 387,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,096.46 : 615,283.29 = 258,407.58 : x
  2. Step 2: Convert to fraction form
    410,096.46/615,283.29 = 258,407.58/x
  3. Step 3: Cross multiply
    410,096.46x = 615,283.29 × 258,407.58
  4. Step 4: Simplify right side
    410,096.46x = 158,993,865,983.34
  5. Step 5: Solve for x
    x = 158,993,865,983.34/410,096.46
  6. Step 6: Final answer
    x = 387,698.70

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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.