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Finding the Fourth Proportional to 611,283.96, 916,825.32 and 162,032.76

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Solution

The fourth proportional to 611,283.96, 916,825.32 and 162,032.76 is: 243,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,283.96 : 916,825.32 = 162,032.76 : x
  2. Step 2: Convert to fraction form
    611,283.96/916,825.32 = 162,032.76/x
  3. Step 3: Cross multiply
    611,283.96x = 916,825.32 × 162,032.76
  4. Step 4: Simplify right side
    611,283.96x = 148,555,737,037.48
  5. Step 5: Solve for x
    x = 148,555,737,037.48/611,283.96
  6. Step 6: Final answer
    x = 243,022.47

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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.