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Finding the Fourth Proportional to 513,475, 708,541.02 and 283,995.88

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Solution

The fourth proportional to 513,475, 708,541.02 and 283,995.88 is: 391,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,475 : 708,541.02 = 283,995.88 : x
  2. Step 2: Convert to fraction form
    513,475/708,541.02 = 283,995.88/x
  3. Step 3: Cross multiply
    513,475x = 708,541.02 × 283,995.88
  4. Step 4: Simplify right side
    513,475x = 201,222,730,491.00
  5. Step 5: Solve for x
    x = 201,222,730,491.00/513,475
  6. Step 6: Final answer
    x = 391,884.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.