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Finding the Fourth Proportional to 702,904.38, 970,079.64 and 506,832.14

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Solution

The fourth proportional to 702,904.38, 970,079.64 and 506,832.14 is: 699,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,904.38 : 970,079.64 = 506,832.14 : x
  2. Step 2: Convert to fraction form
    702,904.38/970,079.64 = 506,832.14/x
  3. Step 3: Cross multiply
    702,904.38x = 970,079.64 × 506,832.14
  4. Step 4: Simplify right side
    702,904.38x = 491,667,539,911.63
  5. Step 5: Solve for x
    x = 491,667,539,911.63/702,904.38
  6. Step 6: Final answer
    x = 699,479.98

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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.