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Finding the Fourth Proportional to 464,438, 696,773.66 and 132,014

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Solution

The fourth proportional to 464,438, 696,773.66 and 132,014 is: 198,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,438 : 696,773.66 = 132,014 : x
  2. Step 2: Convert to fraction form
    464,438/696,773.66 = 132,014/x
  3. Step 3: Cross multiply
    464,438x = 696,773.66 × 132,014
  4. Step 4: Simplify right side
    464,438x = 91,983,877,291.17
  5. Step 5: Solve for x
    x = 91,983,877,291.17/464,438
  6. Step 6: Final answer
    x = 198,054.16

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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.