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Finding the Fourth Proportional to 296,840.35, 409,660.18 and 180,599.18

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Solution

The fourth proportional to 296,840.35, 409,660.18 and 180,599.18 is: 249,239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,840.35 : 409,660.18 = 180,599.18 : x
  2. Step 2: Convert to fraction form
    296,840.35/409,660.18 = 180,599.18/x
  3. Step 3: Cross multiply
    296,840.35x = 409,660.18 × 180,599.18
  4. Step 4: Simplify right side
    296,840.35x = 73,984,292,586.65
  5. Step 5: Solve for x
    x = 73,984,292,586.65/296,840.35
  6. Step 6: Final answer
    x = 249,239.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.