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Finding the Fourth Proportional to 413,423.16, 570,552.08 and 229,682.76

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Solution

The fourth proportional to 413,423.16, 570,552.08 and 229,682.76 is: 316,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,423.16 : 570,552.08 = 229,682.76 : x
  2. Step 2: Convert to fraction form
    413,423.16/570,552.08 = 229,682.76/x
  3. Step 3: Cross multiply
    413,423.16x = 570,552.08 × 229,682.76
  4. Step 4: Simplify right side
    413,423.16x = 131,045,975,309.73
  5. Step 5: Solve for x
    x = 131,045,975,309.73/413,423.16
  6. Step 6: Final answer
    x = 316,977.83

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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.