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Finding the Fourth Proportional to 410,154.36, 566,011.16 and 228,855.72

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Solution

The fourth proportional to 410,154.36, 566,011.16 and 228,855.72 is: 315,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,154.36 : 566,011.16 = 228,855.72 : x
  2. Step 2: Convert to fraction form
    410,154.36/566,011.16 = 228,855.72/x
  3. Step 3: Cross multiply
    410,154.36x = 566,011.16 × 228,855.72
  4. Step 4: Simplify right side
    410,154.36x = 129,534,891,549.84
  5. Step 5: Solve for x
    x = 129,534,891,549.84/410,154.36
  6. Step 6: Final answer
    x = 315,819.86

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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.