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Finding the Fourth Proportional to 466,461.80, 700,470.30 and 256,250.60

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Solution

The fourth proportional to 466,461.80, 700,470.30 and 256,250.60 is: 384,803.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,461.80 : 700,470.30 = 256,250.60 : x
  2. Step 2: Convert to fraction form
    466,461.80/700,470.30 = 256,250.60/x
  3. Step 3: Cross multiply
    466,461.80x = 700,470.30 × 256,250.60
  4. Step 4: Simplify right side
    466,461.80x = 179,495,934,657.18
  5. Step 5: Solve for x
    x = 179,495,934,657.18/466,461.80
  6. Step 6: Final answer
    x = 384,803.07

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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.