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Finding the Fourth Proportional to 462,543.04, 693,893.67 and 158,922.64

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Solution

The fourth proportional to 462,543.04, 693,893.67 and 158,922.64 is: 238,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,543.04 : 693,893.67 = 158,922.64 : x
  2. Step 2: Convert to fraction form
    462,543.04/693,893.67 = 158,922.64/x
  3. Step 3: Cross multiply
    462,543.04x = 693,893.67 × 158,922.64
  4. Step 4: Simplify right side
    462,543.04x = 110,275,413,915.69
  5. Step 5: Solve for x
    x = 110,275,413,915.69/462,543.04
  6. Step 6: Final answer
    x = 238,411.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.