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Finding the Fourth Proportional to 490,358, 735,537.04 and 157,934

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Solution

The fourth proportional to 490,358, 735,537.04 and 157,934 is: 236,901.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,358 : 735,537.04 = 157,934 : x
  2. Step 2: Convert to fraction form
    490,358/735,537.04 = 157,934/x
  3. Step 3: Cross multiply
    490,358x = 735,537.04 × 157,934
  4. Step 4: Simplify right side
    490,358x = 116,166,306,875.36
  5. Step 5: Solve for x
    x = 116,166,306,875.36/490,358
  6. Step 6: Final answer
    x = 236,901.01

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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.