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Finding the Fourth Proportional to 409,502.46, 614,253.78 and 160,009.50

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Solution

The fourth proportional to 409,502.46, 614,253.78 and 160,009.50 is: 240,014.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,502.46 : 614,253.78 = 160,009.50 : x
  2. Step 2: Convert to fraction form
    409,502.46/614,253.78 = 160,009.50/x
  3. Step 3: Cross multiply
    409,502.46x = 614,253.78 × 160,009.50
  4. Step 4: Simplify right side
    409,502.46x = 98,286,440,210.91
  5. Step 5: Solve for x
    x = 98,286,440,210.91/409,502.46
  6. Step 6: Final answer
    x = 240,014.29

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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.