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Finding the Fourth Proportional to 510,538.34, 704,760.95 and 363,458.14

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Solution

The fourth proportional to 510,538.34, 704,760.95 and 363,458.14 is: 501,727.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,538.34 : 704,760.95 = 363,458.14 : x
  2. Step 2: Convert to fraction form
    510,538.34/704,760.95 = 363,458.14/x
  3. Step 3: Cross multiply
    510,538.34x = 704,760.95 × 363,458.14
  4. Step 4: Simplify right side
    510,538.34x = 256,151,103,178.38
  5. Step 5: Solve for x
    x = 256,151,103,178.38/510,538.34
  6. Step 6: Final answer
    x = 501,727.45

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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.