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Finding the Fourth Proportional to 589,134.18, 813,010.56 and 334,490.78

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Solution

The fourth proportional to 589,134.18, 813,010.56 and 334,490.78 is: 461,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,134.18 : 813,010.56 = 334,490.78 : x
  2. Step 2: Convert to fraction form
    589,134.18/813,010.56 = 334,490.78/x
  3. Step 3: Cross multiply
    589,134.18x = 813,010.56 × 334,490.78
  4. Step 4: Simplify right side
    589,134.18x = 271,944,536,362.64
  5. Step 5: Solve for x
    x = 271,944,536,362.64/589,134.18
  6. Step 6: Final answer
    x = 461,600.34

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.