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Finding the Fourth Proportional to 613,716.78, 920,627.14 and 187,348.16

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Solution

The fourth proportional to 613,716.78, 920,627.14 and 187,348.16 is: 281,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,716.78 : 920,627.14 = 187,348.16 : x
  2. Step 2: Convert to fraction form
    613,716.78/920,627.14 = 187,348.16/x
  3. Step 3: Cross multiply
    613,716.78x = 920,627.14 × 187,348.16
  4. Step 4: Simplify right side
    613,716.78x = 172,477,800,725.06
  5. Step 5: Solve for x
    x = 172,477,800,725.06/613,716.78
  6. Step 6: Final answer
    x = 281,038.10

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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.