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Finding the Fourth Proportional to 598,213.80, 897,612.30 and 456,010.20

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Solution

The fourth proportional to 598,213.80, 897,612.30 and 456,010.20 is: 684,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,213.80 : 897,612.30 = 456,010.20 : x
  2. Step 2: Convert to fraction form
    598,213.80/897,612.30 = 456,010.20/x
  3. Step 3: Cross multiply
    598,213.80x = 897,612.30 × 456,010.20
  4. Step 4: Simplify right side
    598,213.80x = 409,320,364,445.46
  5. Step 5: Solve for x
    x = 409,320,364,445.46/598,213.80
  6. Step 6: Final answer
    x = 684,237.58

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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.