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Finding the Fourth Proportional to 409,554.90, 613,894.95 and 156,737.70

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Solution

The fourth proportional to 409,554.90, 613,894.95 and 156,737.70 is: 234,939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,554.90 : 613,894.95 = 156,737.70 : x
  2. Step 2: Convert to fraction form
    409,554.90/613,894.95 = 156,737.70/x
  3. Step 3: Cross multiply
    409,554.90x = 613,894.95 × 156,737.70
  4. Step 4: Simplify right side
    409,554.90x = 96,220,482,504.62
  5. Step 5: Solve for x
    x = 96,220,482,504.62/409,554.90
  6. Step 6: Final answer
    x = 234,939.16

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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.