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Finding the Fourth Proportional to 442,417.46, 610,588 and 251,459.56

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Solution

The fourth proportional to 442,417.46, 610,588 and 251,459.56 is: 347,043.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,417.46 : 610,588 = 251,459.56 : x
  2. Step 2: Convert to fraction form
    442,417.46/610,588 = 251,459.56/x
  3. Step 3: Cross multiply
    442,417.46x = 610,588 × 251,459.56
  4. Step 4: Simplify right side
    442,417.46x = 153,538,189,821.28
  5. Step 5: Solve for x
    x = 153,538,189,821.28/442,417.46
  6. Step 6: Final answer
    x = 347,043.69

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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.