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Finding the Fourth Proportional to 475,718.90, 656,522.43 and 314,290.76

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Solution

The fourth proportional to 475,718.90, 656,522.43 and 314,290.76 is: 433,741.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,718.90 : 656,522.43 = 314,290.76 : x
  2. Step 2: Convert to fraction form
    475,718.90/656,522.43 = 314,290.76/x
  3. Step 3: Cross multiply
    475,718.90x = 656,522.43 × 314,290.76
  4. Step 4: Simplify right side
    475,718.90x = 206,338,933,481.75
  5. Step 5: Solve for x
    x = 206,338,933,481.75/475,718.90
  6. Step 6: Final answer
    x = 433,741.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.