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Finding the Fourth Proportional to 441,394.32, 662,088.29 and 292,301.97

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Solution

The fourth proportional to 441,394.32, 662,088.29 and 292,301.97 is: 438,450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,394.32 : 662,088.29 = 292,301.97 : x
  2. Step 2: Convert to fraction form
    441,394.32/662,088.29 = 292,301.97/x
  3. Step 3: Cross multiply
    441,394.32x = 662,088.29 × 292,301.97
  4. Step 4: Simplify right side
    441,394.32x = 193,529,710,019.42
  5. Step 5: Solve for x
    x = 193,529,710,019.42/441,394.32
  6. Step 6: Final answer
    x = 438,450.84

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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.