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Finding the Fourth Proportional to 589,319.73, 813,266.87 and 334,672.74

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Solution

The fourth proportional to 589,319.73, 813,266.87 and 334,672.74 is: 461,851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,319.73 : 813,266.87 = 334,672.74 : x
  2. Step 2: Convert to fraction form
    589,319.73/813,266.87 = 334,672.74/x
  3. Step 3: Cross multiply
    589,319.73x = 813,266.87 × 334,672.74
  4. Step 4: Simplify right side
    589,319.73x = 272,178,250,060.76
  5. Step 5: Solve for x
    x = 272,178,250,060.76/589,319.73
  6. Step 6: Final answer
    x = 461,851.58

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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.