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Finding the Fourth Proportional to 464,523.52, 696,854.54 and 164,978.94

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Solution

The fourth proportional to 464,523.52, 696,854.54 and 164,978.94 is: 247,493.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,523.52 : 696,854.54 = 164,978.94 : x
  2. Step 2: Convert to fraction form
    464,523.52/696,854.54 = 164,978.94/x
  3. Step 3: Cross multiply
    464,523.52x = 696,854.54 × 164,978.94
  4. Step 4: Simplify right side
    464,523.52x = 114,966,323,343.39
  5. Step 5: Solve for x
    x = 114,966,323,343.39/464,523.52
  6. Step 6: Final answer
    x = 247,493.01

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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.