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Finding the Fourth Proportional to 296,970.54, 409,788.64 and 182,254.02

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Solution

The fourth proportional to 296,970.54, 409,788.64 and 182,254.02 is: 251,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,970.54 : 409,788.64 = 182,254.02 : x
  2. Step 2: Convert to fraction form
    296,970.54/409,788.64 = 182,254.02/x
  3. Step 3: Cross multiply
    296,970.54x = 409,788.64 × 182,254.02
  4. Step 4: Simplify right side
    296,970.54x = 74,685,626,990.33
  5. Step 5: Solve for x
    x = 74,685,626,990.33/296,970.54
  6. Step 6: Final answer
    x = 251,491.70

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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.