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Finding the Fourth Proportional to 589,151.13, 813,034.02 and 334,507.78

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Solution

The fourth proportional to 589,151.13, 813,034.02 and 334,507.78 is: 461,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,151.13 : 813,034.02 = 334,507.78 : x
  2. Step 2: Convert to fraction form
    589,151.13/813,034.02 = 334,507.78/x
  3. Step 3: Cross multiply
    589,151.13x = 813,034.02 × 334,507.78
  4. Step 4: Simplify right side
    589,151.13x = 271,966,205,094.68
  5. Step 5: Solve for x
    x = 271,966,205,094.68/589,151.13
  6. Step 6: Final answer
    x = 461,623.84

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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.