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Finding the Fourth Proportional to 296,430.96, 409,073.88 and 162,294

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Solution

The fourth proportional to 296,430.96, 409,073.88 and 162,294 is: 223,965.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,430.96 : 409,073.88 = 162,294 : x
  2. Step 2: Convert to fraction form
    296,430.96/409,073.88 = 162,294/x
  3. Step 3: Cross multiply
    296,430.96x = 409,073.88 × 162,294
  4. Step 4: Simplify right side
    296,430.96x = 66,390,236,280.72
  5. Step 5: Solve for x
    x = 66,390,236,280.72/296,430.96
  6. Step 6: Final answer
    x = 223,965.26

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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.