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Finding the Fourth Proportional to 589,177.64, 813,070.64 and 334,534.28

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Solution

The fourth proportional to 589,177.64, 813,070.64 and 334,534.28 is: 461,660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,177.64 : 813,070.64 = 334,534.28 : x
  2. Step 2: Convert to fraction form
    589,177.64/813,070.64 = 334,534.28/x
  3. Step 3: Cross multiply
    589,177.64x = 813,070.64 × 334,534.28
  4. Step 4: Simplify right side
    589,177.64x = 272,000,001,141.54
  5. Step 5: Solve for x
    x = 272,000,001,141.54/589,177.64
  6. Step 6: Final answer
    x = 461,660.43

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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.