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Finding the Fourth Proportional to 305,223.39, 457,924.59 and 136,706.13

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Solution

The fourth proportional to 305,223.39, 457,924.59 and 136,706.13 is: 205,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,223.39 : 457,924.59 = 136,706.13 : x
  2. Step 2: Convert to fraction form
    305,223.39/457,924.59 = 136,706.13/x
  3. Step 3: Cross multiply
    305,223.39x = 457,924.59 × 136,706.13
  4. Step 4: Simplify right side
    305,223.39x = 62,601,098,530.74
  5. Step 5: Solve for x
    x = 62,601,098,530.74/305,223.39
  6. Step 6: Final answer
    x = 205,099.28

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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.