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Finding the Fourth Proportional to 464,551.07, 696,760.99 and 148,966.97

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Solution

The fourth proportional to 464,551.07, 696,760.99 and 148,966.97 is: 223,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,551.07 : 696,760.99 = 148,966.97 : x
  2. Step 2: Convert to fraction form
    464,551.07/696,760.99 = 148,966.97/x
  3. Step 3: Cross multiply
    464,551.07x = 696,760.99 × 148,966.97
  4. Step 4: Simplify right side
    464,551.07x = 103,794,369,638.28
  5. Step 5: Solve for x
    x = 103,794,369,638.28/464,551.07
  6. Step 6: Final answer
    x = 223,429.41

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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.