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Finding the Fourth Proportional to 413,184, 570,222.15 and 229,432.05

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Solution

The fourth proportional to 413,184, 570,222.15 and 229,432.05 is: 316,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,184 : 570,222.15 = 229,432.05 : x
  2. Step 2: Convert to fraction form
    413,184/570,222.15 = 229,432.05/x
  3. Step 3: Cross multiply
    413,184x = 570,222.15 × 229,432.05
  4. Step 4: Simplify right side
    413,184x = 130,827,236,829.91
  5. Step 5: Solve for x
    x = 130,827,236,829.91/413,184
  6. Step 6: Final answer
    x = 316,631.90

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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.