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Finding the Fourth Proportional to 614,057.40, 920,758.05 and 214,711.20

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Solution

The fourth proportional to 614,057.40, 920,758.05 and 214,711.20 is: 321,952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,057.40 : 920,758.05 = 214,711.20 : x
  2. Step 2: Convert to fraction form
    614,057.40/920,758.05 = 214,711.20/x
  3. Step 3: Cross multiply
    614,057.40x = 920,758.05 × 214,711.20
  4. Step 4: Simplify right side
    614,057.40x = 197,697,065,825.16
  5. Step 5: Solve for x
    x = 197,697,065,825.16/614,057.40
  6. Step 6: Final answer
    x = 321,952.09

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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.