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Finding the Fourth Proportional to 613,900.20, 920,924.12 and 314,300.34

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Solution

The fourth proportional to 613,900.20, 920,924.12 and 314,300.34 is: 471,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,900.20 : 920,924.12 = 314,300.34 : x
  2. Step 2: Convert to fraction form
    613,900.20/920,924.12 = 314,300.34/x
  3. Step 3: Cross multiply
    613,900.20x = 920,924.12 × 314,300.34
  4. Step 4: Simplify right side
    613,900.20x = 289,446,764,030.20
  5. Step 5: Solve for x
    x = 289,446,764,030.20/613,900.20
  6. Step 6: Final answer
    x = 471,488.30

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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.