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Finding the Fourth Proportional to 403,768.62, 557,196.24 and 229,337.64

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Solution

The fourth proportional to 403,768.62, 557,196.24 and 229,337.64 is: 316,483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,768.62 : 557,196.24 = 229,337.64 : x
  2. Step 2: Convert to fraction form
    403,768.62/557,196.24 = 229,337.64/x
  3. Step 3: Cross multiply
    403,768.62x = 557,196.24 × 229,337.64
  4. Step 4: Simplify right side
    403,768.62x = 127,786,070,698.47
  5. Step 5: Solve for x
    x = 127,786,070,698.47/403,768.62
  6. Step 6: Final answer
    x = 316,483.41

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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.