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Finding the Fourth Proportional to 296,334.16, 408,941.10 and 160,368.10

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Solution

The fourth proportional to 296,334.16, 408,941.10 and 160,368.10 is: 221,307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,334.16 : 408,941.10 = 160,368.10 : x
  2. Step 2: Convert to fraction form
    296,334.16/408,941.10 = 160,368.10/x
  3. Step 3: Cross multiply
    296,334.16x = 408,941.10 × 160,368.10
  4. Step 4: Simplify right side
    296,334.16x = 65,581,107,218.91
  5. Step 5: Solve for x
    x = 65,581,107,218.91/296,334.16
  6. Step 6: Final answer
    x = 221,307.96

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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.