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Finding the Fourth Proportional to 466,714.40, 700,417.20 and 186,432.80

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Solution

The fourth proportional to 466,714.40, 700,417.20 and 186,432.80 is: 279,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,714.40 : 700,417.20 = 186,432.80 : x
  2. Step 2: Convert to fraction form
    466,714.40/700,417.20 = 186,432.80/x
  3. Step 3: Cross multiply
    466,714.40x = 700,417.20 × 186,432.80
  4. Step 4: Simplify right side
    466,714.40x = 130,580,739,764.16
  5. Step 5: Solve for x
    x = 130,580,739,764.16/466,714.40
  6. Step 6: Final answer
    x = 279,787.25

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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.