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Finding the Fourth Proportional to 490,641.60, 735,888.59 and 314,380.34

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Solution

The fourth proportional to 490,641.60, 735,888.59 and 314,380.34 is: 471,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,641.60 : 735,888.59 = 314,380.34 : x
  2. Step 2: Convert to fraction form
    490,641.60/735,888.59 = 314,380.34/x
  3. Step 3: Cross multiply
    490,641.60x = 735,888.59 × 314,380.34
  4. Step 4: Simplify right side
    490,641.60x = 231,348,905,581.87
  5. Step 5: Solve for x
    x = 231,348,905,581.87/490,641.60
  6. Step 6: Final answer
    x = 471,523.21

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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.