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Finding the Fourth Proportional to 464,411.61, 696,928.10 and 168,923.61

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Solution

The fourth proportional to 464,411.61, 696,928.10 and 168,923.61 is: 253,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,411.61 : 696,928.10 = 168,923.61 : x
  2. Step 2: Convert to fraction form
    464,411.61/696,928.10 = 168,923.61/x
  3. Step 3: Cross multiply
    464,411.61x = 696,928.10 × 168,923.61
  4. Step 4: Simplify right side
    464,411.61x = 117,727,609,717.82
  5. Step 5: Solve for x
    x = 117,727,609,717.82/464,411.61
  6. Step 6: Final answer
    x = 253,498.42

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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.