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Finding the Fourth Proportional to 522,454.40, 784,031.12 and 190,030.40

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Solution

The fourth proportional to 522,454.40, 784,031.12 and 190,030.40 is: 285,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,454.40 : 784,031.12 = 190,030.40 : x
  2. Step 2: Convert to fraction form
    522,454.40/784,031.12 = 190,030.40/x
  3. Step 3: Cross multiply
    522,454.40x = 784,031.12 × 190,030.40
  4. Step 4: Simplify right side
    522,454.40x = 148,989,747,346.05
  5. Step 5: Solve for x
    x = 148,989,747,346.05/522,454.40
  6. Step 6: Final answer
    x = 285,172.73

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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.