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Finding the Fourth Proportional to 296,538.52, 409,224 and 160,574.08

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Solution

The fourth proportional to 296,538.52, 409,224 and 160,574.08 is: 221,592.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,538.52 : 409,224 = 160,574.08 : x
  2. Step 2: Convert to fraction form
    296,538.52/409,224 = 160,574.08/x
  3. Step 3: Cross multiply
    296,538.52x = 409,224 × 160,574.08
  4. Step 4: Simplify right side
    296,538.52x = 65,710,767,313.92
  5. Step 5: Solve for x
    x = 65,710,767,313.92/296,538.52
  6. Step 6: Final answer
    x = 221,592.69

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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.