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Finding the Fourth Proportional to 364,397.56, 546,082.54 and 172,066.78

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Solution

The fourth proportional to 364,397.56, 546,082.54 and 172,066.78 is: 257,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,397.56 : 546,082.54 = 172,066.78 : x
  2. Step 2: Convert to fraction form
    364,397.56/546,082.54 = 172,066.78/x
  3. Step 3: Cross multiply
    364,397.56x = 546,082.54 × 172,066.78
  4. Step 4: Simplify right side
    364,397.56x = 93,962,665,492.33
  5. Step 5: Solve for x
    x = 93,962,665,492.33/364,397.56
  6. Step 6: Final answer
    x = 257,857.56

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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.