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Finding the Fourth Proportional to 407,798.29, 611,360.67 and 179,931.69

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Solution

The fourth proportional to 407,798.29, 611,360.67 and 179,931.69 is: 269,748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,798.29 : 611,360.67 = 179,931.69 : x
  2. Step 2: Convert to fraction form
    407,798.29/611,360.67 = 179,931.69/x
  3. Step 3: Cross multiply
    407,798.29x = 611,360.67 × 179,931.69
  4. Step 4: Simplify right side
    407,798.29x = 110,003,158,552.63
  5. Step 5: Solve for x
    x = 110,003,158,552.63/407,798.29
  6. Step 6: Final answer
    x = 269,748.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.