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Finding the Fourth Proportional to 409,567.77, 614,351.85 and 129,106.89

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Solution

The fourth proportional to 409,567.77, 614,351.85 and 129,106.89 is: 193,660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,567.77 : 614,351.85 = 129,106.89 : x
  2. Step 2: Convert to fraction form
    409,567.77/614,351.85 = 129,106.89/x
  3. Step 3: Cross multiply
    409,567.77x = 614,351.85 × 129,106.89
  4. Step 4: Simplify right side
    409,567.77x = 79,317,056,719.25
  5. Step 5: Solve for x
    x = 79,317,056,719.25/409,567.77
  6. Step 6: Final answer
    x = 193,660.40

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1.5x scale

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.