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Finding the Fourth Proportional to 409,853.70, 614,780.55 and 232,706.70

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Solution

The fourth proportional to 409,853.70, 614,780.55 and 232,706.70 is: 349,060.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,853.70 : 614,780.55 = 232,706.70 : x
  2. Step 2: Convert to fraction form
    409,853.70/614,780.55 = 232,706.70/x
  3. Step 3: Cross multiply
    409,853.70x = 614,780.55 × 232,706.70
  4. Step 4: Simplify right side
    409,853.70x = 143,063,553,014.69
  5. Step 5: Solve for x
    x = 143,063,553,014.69/409,853.70
  6. Step 6: Final answer
    x = 349,060.05

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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.