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Finding the Fourth Proportional to 650,491.34, 975,829.95 and 201,250.55

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Solution

The fourth proportional to 650,491.34, 975,829.95 and 201,250.55 is: 301,904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,491.34 : 975,829.95 = 201,250.55 : x
  2. Step 2: Convert to fraction form
    650,491.34/975,829.95 = 201,250.55/x
  3. Step 3: Cross multiply
    650,491.34x = 975,829.95 × 201,250.55
  4. Step 4: Simplify right side
    650,491.34x = 196,386,309,264.82
  5. Step 5: Solve for x
    x = 196,386,309,264.82/650,491.34
  6. Step 6: Final answer
    x = 301,904.57

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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.