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Finding the Fourth Proportional to 466,069.30, 699,622.35 and 256,117.30

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Solution

The fourth proportional to 466,069.30, 699,622.35 and 256,117.30 is: 384,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,069.30 : 699,622.35 = 256,117.30 : x
  2. Step 2: Convert to fraction form
    466,069.30/699,622.35 = 256,117.30/x
  3. Step 3: Cross multiply
    466,069.30x = 699,622.35 × 256,117.30
  4. Step 4: Simplify right side
    466,069.30x = 179,185,387,301.66
  5. Step 5: Solve for x
    x = 179,185,387,301.66/466,069.30
  6. Step 6: Final answer
    x = 384,460.82

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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.