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Finding the Fourth Proportional to 296,661.40, 409,421.94 and 169,356.04

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Solution

The fourth proportional to 296,661.40, 409,421.94 and 169,356.04 is: 233,728.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,661.40 : 409,421.94 = 169,356.04 : x
  2. Step 2: Convert to fraction form
    296,661.40/409,421.94 = 169,356.04/x
  3. Step 3: Cross multiply
    296,661.40x = 409,421.94 × 169,356.04
  4. Step 4: Simplify right side
    296,661.40x = 69,338,078,447.52
  5. Step 5: Solve for x
    x = 69,338,078,447.52/296,661.40
  6. Step 6: Final answer
    x = 233,728.01

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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.