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Finding the Fourth Proportional to 468,459.41, 646,473.87 and 253,599.30

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Solution

The fourth proportional to 468,459.41, 646,473.87 and 253,599.30 is: 349,966.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,459.41 : 646,473.87 = 253,599.30 : x
  2. Step 2: Convert to fraction form
    468,459.41/646,473.87 = 253,599.30/x
  3. Step 3: Cross multiply
    468,459.41x = 646,473.87 × 253,599.30
  4. Step 4: Simplify right side
    468,459.41x = 163,945,320,900.29
  5. Step 5: Solve for x
    x = 163,945,320,900.29/468,459.41
  6. Step 6: Final answer
    x = 349,966.98

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Why These Related Problems?

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