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Finding the Fourth Proportional to 284,523.42, 426,851.66 and 151,373.40

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Solution

The fourth proportional to 284,523.42, 426,851.66 and 151,373.40 is: 227,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,523.42 : 426,851.66 = 151,373.40 : x
  2. Step 2: Convert to fraction form
    284,523.42/426,851.66 = 151,373.40/x
  3. Step 3: Cross multiply
    284,523.42x = 426,851.66 × 151,373.40
  4. Step 4: Simplify right side
    284,523.42x = 64,613,987,069.84
  5. Step 5: Solve for x
    x = 64,613,987,069.84/284,523.42
  6. Step 6: Final answer
    x = 227,095.50

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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.