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Finding the Fourth Proportional to 490,348, 735,522.04 and 157,924

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Solution

The fourth proportional to 490,348, 735,522.04 and 157,924 is: 236,886.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,348 : 735,522.04 = 157,924 : x
  2. Step 2: Convert to fraction form
    490,348/735,522.04 = 157,924/x
  3. Step 3: Cross multiply
    490,348x = 735,522.04 × 157,924
  4. Step 4: Simplify right side
    490,348x = 116,156,582,644.96
  5. Step 5: Solve for x
    x = 116,156,582,644.96/490,348
  6. Step 6: Final answer
    x = 236,886.01

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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.