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Finding the Fourth Proportional to 296,875.56, 410,230.74 and 216,162.48

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Solution

The fourth proportional to 296,875.56, 410,230.74 and 216,162.48 is: 298,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,875.56 : 410,230.74 = 216,162.48 : x
  2. Step 2: Convert to fraction form
    296,875.56/410,230.74 = 216,162.48/x
  3. Step 3: Cross multiply
    296,875.56x = 410,230.74 × 216,162.48
  4. Step 4: Simplify right side
    296,875.56x = 88,676,494,130.64
  5. Step 5: Solve for x
    x = 88,676,494,130.64/296,875.56
  6. Step 6: Final answer
    x = 298,699.21

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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.