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Finding the Fourth Proportional to 333,470.71, 500,213.49 and 120,255.83

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Solution

The fourth proportional to 333,470.71, 500,213.49 and 120,255.83 is: 180,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,470.71 : 500,213.49 = 120,255.83 : x
  2. Step 2: Convert to fraction form
    333,470.71/500,213.49 = 120,255.83/x
  3. Step 3: Cross multiply
    333,470.71x = 500,213.49 × 120,255.83
  4. Step 4: Simplify right side
    333,470.71x = 60,153,588,417.15
  5. Step 5: Solve for x
    x = 60,153,588,417.15/333,470.71
  6. Step 6: Final answer
    x = 180,386.42

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1.5x scale

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.