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Finding the Fourth Proportional to 540,924.30, 746,410.14 and 299,173.86

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Solution

The fourth proportional to 540,924.30, 746,410.14 and 299,173.86 is: 412,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,924.30 : 746,410.14 = 299,173.86 : x
  2. Step 2: Convert to fraction form
    540,924.30/746,410.14 = 299,173.86/x
  3. Step 3: Cross multiply
    540,924.30x = 746,410.14 × 299,173.86
  4. Step 4: Simplify right side
    540,924.30x = 223,306,402,726.94
  5. Step 5: Solve for x
    x = 223,306,402,726.94/540,924.30
  6. Step 6: Final answer
    x = 412,823.76

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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.