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Finding the Fourth Proportional to 593,954.72, 891,097.92 and 194,876.16

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Solution

The fourth proportional to 593,954.72, 891,097.92 and 194,876.16 is: 292,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,954.72 : 891,097.92 = 194,876.16 : x
  2. Step 2: Convert to fraction form
    593,954.72/891,097.92 = 194,876.16/x
  3. Step 3: Cross multiply
    593,954.72x = 891,097.92 × 194,876.16
  4. Step 4: Simplify right side
    593,954.72x = 173,653,740,833.59
  5. Step 5: Solve for x
    x = 173,653,740,833.59/593,954.72
  6. Step 6: Final answer
    x = 292,368.65

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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.