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Finding the Fourth Proportional to 480,085.40, 720,321.74 and 213,663.69

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Solution

The fourth proportional to 480,085.40, 720,321.74 and 213,663.69 is: 320,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,085.40 : 720,321.74 = 213,663.69 : x
  2. Step 2: Convert to fraction form
    480,085.40/720,321.74 = 213,663.69/x
  3. Step 3: Cross multiply
    480,085.40x = 720,321.74 × 213,663.69
  4. Step 4: Simplify right side
    480,085.40x = 153,906,600,421.46
  5. Step 5: Solve for x
    x = 153,906,600,421.46/480,085.40
  6. Step 6: Final answer
    x = 320,581.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.