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Finding the Fourth Proportional to 490,346, 735,519.04 and 157,922

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Solution

The fourth proportional to 490,346, 735,519.04 and 157,922 is: 236,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,346 : 735,519.04 = 157,922 : x
  2. Step 2: Convert to fraction form
    490,346/735,519.04 = 157,922/x
  3. Step 3: Cross multiply
    490,346x = 735,519.04 × 157,922
  4. Step 4: Simplify right side
    490,346x = 116,154,637,834.88
  5. Step 5: Solve for x
    x = 116,154,637,834.88/490,346
  6. Step 6: Final answer
    x = 236,883.01

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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.