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Finding the Fourth Proportional to 314,108.61, 433,467.75 and 178,169.01

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Solution

The fourth proportional to 314,108.61, 433,467.75 and 178,169.01 is: 245,872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,108.61 : 433,467.75 = 178,169.01 : x
  2. Step 2: Convert to fraction form
    314,108.61/433,467.75 = 178,169.01/x
  3. Step 3: Cross multiply
    314,108.61x = 433,467.75 × 178,169.01
  4. Step 4: Simplify right side
    314,108.61x = 77,230,519,884.43
  5. Step 5: Solve for x
    x = 77,230,519,884.43/314,108.61
  6. Step 6: Final answer
    x = 245,872.02

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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.