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Finding the Fourth Proportional to 284,810.37, 426,964.13 and 107,441.93

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Solution

The fourth proportional to 284,810.37, 426,964.13 and 107,441.93 is: 161,068.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,810.37 : 426,964.13 = 107,441.93 : x
  2. Step 2: Convert to fraction form
    284,810.37/426,964.13 = 107,441.93/x
  3. Step 3: Cross multiply
    284,810.37x = 426,964.13 × 107,441.93
  4. Step 4: Simplify right side
    284,810.37x = 45,873,851,101.08
  5. Step 5: Solve for x
    x = 45,873,851,101.08/284,810.37
  6. Step 6: Final answer
    x = 161,068.05

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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.