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Finding the Fourth Proportional to 296,400.52, 409,032.66 and 160,434.44

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Solution

The fourth proportional to 296,400.52, 409,032.66 and 160,434.44 is: 221,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,400.52 : 409,032.66 = 160,434.44 : x
  2. Step 2: Convert to fraction form
    296,400.52/409,032.66 = 160,434.44/x
  3. Step 3: Cross multiply
    296,400.52x = 409,032.66 × 160,434.44
  4. Step 4: Simplify right side
    296,400.52x = 65,622,925,748.81
  5. Step 5: Solve for x
    x = 65,622,925,748.81/296,400.52
  6. Step 6: Final answer
    x = 221,399.50

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1.5x scale

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.