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Finding the Fourth Proportional to 490,235.17, 735,353.33 and 153,277.60

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Solution

The fourth proportional to 490,235.17, 735,353.33 and 153,277.60 is: 229,916.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,235.17 : 735,353.33 = 153,277.60 : x
  2. Step 2: Convert to fraction form
    490,235.17/735,353.33 = 153,277.60/x
  3. Step 3: Cross multiply
    490,235.17x = 735,353.33 × 153,277.60
  4. Step 4: Simplify right side
    490,235.17x = 112,713,193,574.41
  5. Step 5: Solve for x
    x = 112,713,193,574.41/490,235.17
  6. Step 6: Final answer
    x = 229,916.58

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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.