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Finding the Fourth Proportional to 490,352.74, 735,549.46 and 153,399.83

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Solution

The fourth proportional to 490,352.74, 735,549.46 and 153,399.83 is: 230,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,352.74 : 735,549.46 = 153,399.83 : x
  2. Step 2: Convert to fraction form
    490,352.74/735,549.46 = 153,399.83/x
  3. Step 3: Cross multiply
    490,352.74x = 735,549.46 × 153,399.83
  4. Step 4: Simplify right side
    490,352.74x = 112,833,158,059.35
  5. Step 5: Solve for x
    x = 112,833,158,059.35/490,352.74
  6. Step 6: Final answer
    x = 230,106.10

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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.