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Finding the Fourth Proportional to 407,527.40, 611,582.70 and 171,039.80

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Solution

The fourth proportional to 407,527.40, 611,582.70 and 171,039.80 is: 256,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,527.40 : 611,582.70 = 171,039.80 : x
  2. Step 2: Convert to fraction form
    407,527.40/611,582.70 = 171,039.80/x
  3. Step 3: Cross multiply
    407,527.40x = 611,582.70 × 171,039.80
  4. Step 4: Simplify right side
    407,527.40x = 104,604,982,691.46
  5. Step 5: Solve for x
    x = 104,604,982,691.46/407,527.40
  6. Step 6: Final answer
    x = 256,682.08

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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.