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Finding the Fourth Proportional to 464,689.52, 697,125.04 and 149,122.16

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Solution

The fourth proportional to 464,689.52, 697,125.04 and 149,122.16 is: 223,712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,689.52 : 697,125.04 = 149,122.16 : x
  2. Step 2: Convert to fraction form
    464,689.52/697,125.04 = 149,122.16/x
  3. Step 3: Cross multiply
    464,689.52x = 697,125.04 × 149,122.16
  4. Step 4: Simplify right side
    464,689.52x = 103,956,791,754.89
  5. Step 5: Solve for x
    x = 103,956,791,754.89/464,689.52
  6. Step 6: Final answer
    x = 223,712.37

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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.