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Finding the Fourth Proportional to 341,102.53, 470,851.19 and 256,465.45

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Solution

The fourth proportional to 341,102.53, 470,851.19 and 256,465.45 is: 354,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,102.53 : 470,851.19 = 256,465.45 : x
  2. Step 2: Convert to fraction form
    341,102.53/470,851.19 = 256,465.45/x
  3. Step 3: Cross multiply
    341,102.53x = 470,851.19 × 256,465.45
  4. Step 4: Simplify right side
    341,102.53x = 120,757,062,326.39
  5. Step 5: Solve for x
    x = 120,757,062,326.39/341,102.53
  6. Step 6: Final answer
    x = 354,019.84

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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.