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Finding the Fourth Proportional to 384,277.80, 576,071.10 and 243,964.20

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Solution

The fourth proportional to 384,277.80, 576,071.10 and 243,964.20 is: 365,726.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,277.80 : 576,071.10 = 243,964.20 : x
  2. Step 2: Convert to fraction form
    384,277.80/576,071.10 = 243,964.20/x
  3. Step 3: Cross multiply
    384,277.80x = 576,071.10 × 243,964.20
  4. Step 4: Simplify right side
    384,277.80x = 140,540,725,054.62
  5. Step 5: Solve for x
    x = 140,540,725,054.62/384,277.80
  6. Step 6: Final answer
    x = 365,726.89

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1.5x scale

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.