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Finding the Fourth Proportional to 523,113.19, 784,677.07 and 149,136.19

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Solution

The fourth proportional to 523,113.19, 784,677.07 and 149,136.19 is: 223,706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,113.19 : 784,677.07 = 149,136.19 : x
  2. Step 2: Convert to fraction form
    523,113.19/784,677.07 = 149,136.19/x
  3. Step 3: Cross multiply
    523,113.19x = 784,677.07 × 149,136.19
  4. Step 4: Simplify right side
    523,113.19x = 117,023,746,824.89
  5. Step 5: Solve for x
    x = 117,023,746,824.89/523,113.19
  6. Step 6: Final answer
    x = 223,706.36

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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.