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Finding the Fourth Proportional to 320,748, 442,122.30 and 252,657.16

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Solution

The fourth proportional to 320,748, 442,122.30 and 252,657.16 is: 348,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,748 : 442,122.30 = 252,657.16 : x
  2. Step 2: Convert to fraction form
    320,748/442,122.30 = 252,657.16/x
  3. Step 3: Cross multiply
    320,748x = 442,122.30 × 252,657.16
  4. Step 4: Simplify right side
    320,748x = 111,705,364,690.67
  5. Step 5: Solve for x
    x = 111,705,364,690.67/320,748
  6. Step 6: Final answer
    x = 348,265.19

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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.