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Finding the Fourth Proportional to 957,828, 1,436,742.54 and 292,980

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Solution

The fourth proportional to 957,828, 1,436,742.54 and 292,980 is: 439,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,828 : 1,436,742.54 = 292,980 : x
  2. Step 2: Convert to fraction form
    957,828/1,436,742.54 = 292,980/x
  3. Step 3: Cross multiply
    957,828x = 1,436,742.54 × 292,980
  4. Step 4: Simplify right side
    957,828x = 420,936,829,369.20
  5. Step 5: Solve for x
    x = 420,936,829,369.20/957,828
  6. Step 6: Final answer
    x = 439,470.17

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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.