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Finding the Fourth Proportional to 772,443.20, 1,156,915.20 and 457,515.20

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Solution

The fourth proportional to 772,443.20, 1,156,915.20 and 457,515.20 is: 685,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,443.20 : 1,156,915.20 = 457,515.20 : x
  2. Step 2: Convert to fraction form
    772,443.20/1,156,915.20 = 457,515.20/x
  3. Step 3: Cross multiply
    772,443.20x = 1,156,915.20 × 457,515.20
  4. Step 4: Simplify right side
    772,443.20x = 529,306,289,111.04
  5. Step 5: Solve for x
    x = 529,306,289,111.04/772,443.20
  6. Step 6: Final answer
    x = 685,236.52

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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.