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Finding the Fourth Proportional to 490,744.74, 736,117.21 and 153,785.32

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Solution

The fourth proportional to 490,744.74, 736,117.21 and 153,785.32 is: 230,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,744.74 : 736,117.21 = 153,785.32 : x
  2. Step 2: Convert to fraction form
    490,744.74/736,117.21 = 153,785.32/x
  3. Step 3: Cross multiply
    490,744.74x = 736,117.21 × 153,785.32
  4. Step 4: Simplify right side
    490,744.74x = 113,204,020,697.36
  5. Step 5: Solve for x
    x = 113,204,020,697.36/490,744.74
  6. Step 6: Final answer
    x = 230,678.01

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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.