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Finding the Fourth Proportional to 296,773.34, 409,538.31 and 169,424.06

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Solution

The fourth proportional to 296,773.34, 409,538.31 and 169,424.06 is: 233,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,773.34 : 409,538.31 = 169,424.06 : x
  2. Step 2: Convert to fraction form
    296,773.34/409,538.31 = 169,424.06/x
  3. Step 3: Cross multiply
    296,773.34x = 409,538.31 × 169,424.06
  4. Step 4: Simplify right side
    296,773.34x = 69,385,643,205.74
  5. Step 5: Solve for x
    x = 69,385,643,205.74/296,773.34
  6. Step 6: Final answer
    x = 233,800.12

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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.