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Finding the Fourth Proportional to 296,638.59, 409,248.29 and 219,299.93

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Solution

The fourth proportional to 296,638.59, 409,248.29 and 219,299.93 is: 302,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,638.59 : 409,248.29 = 219,299.93 : x
  2. Step 2: Convert to fraction form
    296,638.59/409,248.29 = 219,299.93/x
  3. Step 3: Cross multiply
    296,638.59x = 409,248.29 × 219,299.93
  4. Step 4: Simplify right side
    296,638.59x = 89,748,119,851.63
  5. Step 5: Solve for x
    x = 89,748,119,851.63/296,638.59
  6. Step 6: Final answer
    x = 302,550.39

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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.