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Finding the Fourth Proportional to 314,385.08, 433,851.47 and 171,145.08

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Solution

The fourth proportional to 314,385.08, 433,851.47 and 171,145.08 is: 236,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,385.08 : 433,851.47 = 171,145.08 : x
  2. Step 2: Convert to fraction form
    314,385.08/433,851.47 = 171,145.08/x
  3. Step 3: Cross multiply
    314,385.08x = 433,851.47 × 171,145.08
  4. Step 4: Simplify right side
    314,385.08x = 74,251,544,541.27
  5. Step 5: Solve for x
    x = 74,251,544,541.27/314,385.08
  6. Step 6: Final answer
    x = 236,180.24

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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.