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Finding the Fourth Proportional to 296,495.40, 409,585.50 and 239,050.20

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Solution

The fourth proportional to 296,495.40, 409,585.50 and 239,050.20 is: 330,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,495.40 : 409,585.50 = 239,050.20 : x
  2. Step 2: Convert to fraction form
    296,495.40/409,585.50 = 239,050.20/x
  3. Step 3: Cross multiply
    296,495.40x = 409,585.50 × 239,050.20
  4. Step 4: Simplify right side
    296,495.40x = 97,911,495,692.10
  5. Step 5: Solve for x
    x = 97,911,495,692.10/296,495.40
  6. Step 6: Final answer
    x = 330,229.39

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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.