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Finding the Fourth Proportional to 490,864.02, 736,305.24 and 153,897.20

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Solution

The fourth proportional to 490,864.02, 736,305.24 and 153,897.20 is: 230,848.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,864.02 : 736,305.24 = 153,897.20 : x
  2. Step 2: Convert to fraction form
    490,864.02/736,305.24 = 153,897.20/x
  3. Step 3: Cross multiply
    490,864.02x = 736,305.24 × 153,897.20
  4. Step 4: Simplify right side
    490,864.02x = 113,315,314,438.06
  5. Step 5: Solve for x
    x = 113,315,314,438.06/490,864.02
  6. Step 6: Final answer
    x = 230,848.69

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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.