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Finding the Fourth Proportional to 296,538.30, 409,223.07 and 160,573.32

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Solution

The fourth proportional to 296,538.30, 409,223.07 and 160,573.32 is: 221,591.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,538.30 : 409,223.07 = 160,573.32 : x
  2. Step 2: Convert to fraction form
    296,538.30/409,223.07 = 160,573.32/x
  3. Step 3: Cross multiply
    296,538.30x = 409,223.07 × 160,573.32
  4. Step 4: Simplify right side
    296,538.30x = 65,710,306,970.49
  5. Step 5: Solve for x
    x = 65,710,306,970.49/296,538.30
  6. Step 6: Final answer
    x = 221,591.30

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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.