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Finding the Fourth Proportional to 291,740.29, 402,633.80 and 169,259.65

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Solution

The fourth proportional to 291,740.29, 402,633.80 and 169,259.65 is: 233,597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,740.29 : 402,633.80 = 169,259.65 : x
  2. Step 2: Convert to fraction form
    291,740.29/402,633.80 = 169,259.65/x
  3. Step 3: Cross multiply
    291,740.29x = 402,633.80 × 169,259.65
  4. Step 4: Simplify right side
    291,740.29x = 68,149,656,066.17
  5. Step 5: Solve for x
    x = 68,149,656,066.17/291,740.29
  6. Step 6: Final answer
    x = 233,597.00

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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.