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Finding the Fourth Proportional to 409,425.22, 614,328.06 and 156,622.16

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Solution

The fourth proportional to 409,425.22, 614,328.06 and 156,622.16 is: 235,006.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,425.22 : 614,328.06 = 156,622.16 : x
  2. Step 2: Convert to fraction form
    409,425.22/614,328.06 = 156,622.16/x
  3. Step 3: Cross multiply
    409,425.22x = 614,328.06 × 156,622.16
  4. Step 4: Simplify right side
    409,425.22x = 96,217,387,705.81
  5. Step 5: Solve for x
    x = 96,217,387,705.81/409,425.22
  6. Step 6: Final answer
    x = 235,006.01

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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.