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Finding the Fourth Proportional to 466,057.30, 697,479.63 and 286,023.22

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Solution

The fourth proportional to 466,057.30, 697,479.63 and 286,023.22 is: 428,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,057.30 : 697,479.63 = 286,023.22 : x
  2. Step 2: Convert to fraction form
    466,057.30/697,479.63 = 286,023.22/x
  3. Step 3: Cross multiply
    466,057.30x = 697,479.63 × 286,023.22
  4. Step 4: Simplify right side
    466,057.30x = 199,495,369,657.01
  5. Step 5: Solve for x
    x = 199,495,369,657.01/466,057.30
  6. Step 6: Final answer
    x = 428,049.02

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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.