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Finding the Fourth Proportional to 296,774.20, 409,547.10 and 160,808.68

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Solution

The fourth proportional to 296,774.20, 409,547.10 and 160,808.68 is: 221,915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,774.20 : 409,547.10 = 160,808.68 : x
  2. Step 2: Convert to fraction form
    296,774.20/409,547.10 = 160,808.68/x
  3. Step 3: Cross multiply
    296,774.20x = 409,547.10 × 160,808.68
  4. Step 4: Simplify right side
    296,774.20x = 65,858,728,548.83
  5. Step 5: Solve for x
    x = 65,858,728,548.83/296,774.20
  6. Step 6: Final answer
    x = 221,915.28

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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.