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Finding the Fourth Proportional to 523,271.40, 784,964.70 and 190,919.40

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Solution

The fourth proportional to 523,271.40, 784,964.70 and 190,919.40 is: 286,400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,271.40 : 784,964.70 = 190,919.40 : x
  2. Step 2: Convert to fraction form
    523,271.40/784,964.70 = 190,919.40/x
  3. Step 3: Cross multiply
    523,271.40x = 784,964.70 × 190,919.40
  4. Step 4: Simplify right side
    523,271.40x = 149,864,989,545.18
  5. Step 5: Solve for x
    x = 149,864,989,545.18/523,271.40
  6. Step 6: Final answer
    x = 286,400.12

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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.