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Finding the Fourth Proportional to 515,954.16, 712,003.14 and 286,504.38

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Solution

The fourth proportional to 515,954.16, 712,003.14 and 286,504.38 is: 395,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,954.16 : 712,003.14 = 286,504.38 : x
  2. Step 2: Convert to fraction form
    515,954.16/712,003.14 = 286,504.38/x
  3. Step 3: Cross multiply
    515,954.16x = 712,003.14 × 286,504.38
  4. Step 4: Simplify right side
    515,954.16x = 203,992,018,183.75
  5. Step 5: Solve for x
    x = 203,992,018,183.75/515,954.16
  6. Step 6: Final answer
    x = 395,368.49

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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.