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Finding the Fourth Proportional to 461,545.36, 692,627.31 and 162,026.82

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Solution

The fourth proportional to 461,545.36, 692,627.31 and 162,026.82 is: 243,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,545.36 : 692,627.31 = 162,026.82 : x
  2. Step 2: Convert to fraction form
    461,545.36/692,627.31 = 162,026.82/x
  3. Step 3: Cross multiply
    461,545.36x = 692,627.31 × 162,026.82
  4. Step 4: Simplify right side
    461,545.36x = 112,224,200,484.45
  5. Step 5: Solve for x
    x = 112,224,200,484.45/461,545.36
  6. Step 6: Final answer
    x = 243,148.80

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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.