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Finding the Fourth Proportional to 589,622.42, 813,576.93 and 347,886.74

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Solution

The fourth proportional to 589,622.42, 813,576.93 and 347,886.74 is: 480,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,622.42 : 813,576.93 = 347,886.74 : x
  2. Step 2: Convert to fraction form
    589,622.42/813,576.93 = 347,886.74/x
  3. Step 3: Cross multiply
    589,622.42x = 813,576.93 × 347,886.74
  4. Step 4: Simplify right side
    589,622.42x = 283,032,625,916.91
  5. Step 5: Solve for x
    x = 283,032,625,916.91/589,622.42
  6. Step 6: Final answer
    x = 480,023.51

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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.