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Finding the Fourth Proportional to 486,742.84, 728,338 and 287,158.84

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Solution

The fourth proportional to 486,742.84, 728,338 and 287,158.84 is: 429,690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,742.84 : 728,338 = 287,158.84 : x
  2. Step 2: Convert to fraction form
    486,742.84/728,338 = 287,158.84/x
  3. Step 3: Cross multiply
    486,742.84x = 728,338 × 287,158.84
  4. Step 4: Simplify right side
    486,742.84x = 209,148,695,207.92
  5. Step 5: Solve for x
    x = 209,148,695,207.92/486,742.84
  6. Step 6: Final answer
    x = 429,690.34

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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.