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Finding the Fourth Proportional to 296,503.29, 409,173.93 and 160,537.36

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Solution

The fourth proportional to 296,503.29, 409,173.93 and 160,537.36 is: 221,541.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,503.29 : 409,173.93 = 160,537.36 : x
  2. Step 2: Convert to fraction form
    296,503.29/409,173.93 = 160,537.36/x
  3. Step 3: Cross multiply
    296,503.29x = 409,173.93 × 160,537.36
  4. Step 4: Simplify right side
    296,503.29x = 65,687,702,503.02
  5. Step 5: Solve for x
    x = 65,687,702,503.02/296,503.29
  6. Step 6: Final answer
    x = 221,541.23

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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.