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Finding the Fourth Proportional to 413,336.19, 619,426.95 and 223,387.14

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Solution

The fourth proportional to 413,336.19, 619,426.95 and 223,387.14 is: 334,768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,336.19 : 619,426.95 = 223,387.14 : x
  2. Step 2: Convert to fraction form
    413,336.19/619,426.95 = 223,387.14/x
  3. Step 3: Cross multiply
    413,336.19x = 619,426.95 × 223,387.14
  4. Step 4: Simplify right side
    413,336.19x = 138,372,014,799.42
  5. Step 5: Solve for x
    x = 138,372,014,799.42/413,336.19
  6. Step 6: Final answer
    x = 334,768.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.