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Finding the Fourth Proportional to 512,113.02, 706,716.04 and 282,670.38

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Solution

The fourth proportional to 512,113.02, 706,716.04 and 282,670.38 is: 390,085.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,113.02 : 706,716.04 = 282,670.38 : x
  2. Step 2: Convert to fraction form
    512,113.02/706,716.04 = 282,670.38/x
  3. Step 3: Cross multiply
    512,113.02x = 706,716.04 × 282,670.38
  4. Step 4: Simplify right side
    512,113.02x = 199,767,691,578.90
  5. Step 5: Solve for x
    x = 199,767,691,578.90/512,113.02
  6. Step 6: Final answer
    x = 390,085.16

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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.