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Finding the Fourth Proportional to 589,602.64, 813,654.39 and 334,967.80

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Solution

The fourth proportional to 589,602.64, 813,654.39 and 334,967.80 is: 462,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,602.64 : 813,654.39 = 334,967.80 : x
  2. Step 2: Convert to fraction form
    589,602.64/813,654.39 = 334,967.80/x
  3. Step 3: Cross multiply
    589,602.64x = 813,654.39 × 334,967.80
  4. Step 4: Simplify right side
    589,602.64x = 272,548,020,978.64
  5. Step 5: Solve for x
    x = 272,548,020,978.64/589,602.64
  6. Step 6: Final answer
    x = 462,257.12

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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.