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Finding the Fourth Proportional to 417,774.69, 576,527.65 and 226,786.71

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Solution

The fourth proportional to 417,774.69, 576,527.65 and 226,786.71 is: 312,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,774.69 : 576,527.65 = 226,786.71 : x
  2. Step 2: Convert to fraction form
    417,774.69/576,527.65 = 226,786.71/x
  3. Step 3: Cross multiply
    417,774.69x = 576,527.65 × 226,786.71
  4. Step 4: Simplify right side
    417,774.69x = 130,748,808,967.53
  5. Step 5: Solve for x
    x = 130,748,808,967.53/417,774.69
  6. Step 6: Final answer
    x = 312,964.89

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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.