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Finding the Fourth Proportional to 566,109.92, 781,231.64 and 311,455.64

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Solution

The fourth proportional to 566,109.92, 781,231.64 and 311,455.64 is: 429,808.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,109.92 : 781,231.64 = 311,455.64 : x
  2. Step 2: Convert to fraction form
    566,109.92/781,231.64 = 311,455.64/x
  3. Step 3: Cross multiply
    566,109.92x = 781,231.64 × 311,455.64
  4. Step 4: Simplify right side
    566,109.92x = 243,319,000,424.45
  5. Step 5: Solve for x
    x = 243,319,000,424.45/566,109.92
  6. Step 6: Final answer
    x = 429,808.76

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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.