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Finding the Fourth Proportional to 296,477.15, 409,141.64 and 160,513.92

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Solution

The fourth proportional to 296,477.15, 409,141.64 and 160,513.92 is: 221,510.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,477.15 : 409,141.64 = 160,513.92 : x
  2. Step 2: Convert to fraction form
    296,477.15/409,141.64 = 160,513.92/x
  3. Step 3: Cross multiply
    296,477.15x = 409,141.64 × 160,513.92
  4. Step 4: Simplify right side
    296,477.15x = 65,672,928,872.91
  5. Step 5: Solve for x
    x = 65,672,928,872.91/296,477.15
  6. Step 6: Final answer
    x = 221,510.93

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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.