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Finding the Fourth Proportional to 772,915.70, 1,159,891.95 and 457,037.30

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Solution

The fourth proportional to 772,915.70, 1,159,891.95 and 457,037.30 is: 685,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,915.70 : 1,159,891.95 = 457,037.30 : x
  2. Step 2: Convert to fraction form
    772,915.70/1,159,891.95 = 457,037.30/x
  3. Step 3: Cross multiply
    772,915.70x = 1,159,891.95 × 457,037.30
  4. Step 4: Simplify right side
    772,915.70x = 530,113,885,119.74
  5. Step 5: Solve for x
    x = 530,113,885,119.74/772,915.70
  6. Step 6: Final answer
    x = 685,862.49

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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.