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Finding the Fourth Proportional to 454,200.30, 681,300.45 and 286,238.70

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Solution

The fourth proportional to 454,200.30, 681,300.45 and 286,238.70 is: 429,358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,200.30 : 681,300.45 = 286,238.70 : x
  2. Step 2: Convert to fraction form
    454,200.30/681,300.45 = 286,238.70/x
  3. Step 3: Cross multiply
    454,200.30x = 681,300.45 × 286,238.70
  4. Step 4: Simplify right side
    454,200.30x = 195,014,555,117.42
  5. Step 5: Solve for x
    x = 195,014,555,117.42/454,200.30
  6. Step 6: Final answer
    x = 429,358.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.