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Finding the Fourth Proportional to 517,519.01, 713,975.78 and 381,878.54

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Solution

The fourth proportional to 517,519.01, 713,975.78 and 381,878.54 is: 526,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,519.01 : 713,975.78 = 381,878.54 : x
  2. Step 2: Convert to fraction form
    517,519.01/713,975.78 = 381,878.54/x
  3. Step 3: Cross multiply
    517,519.01x = 713,975.78 × 381,878.54
  4. Step 4: Simplify right side
    517,519.01x = 272,652,028,461.76
  5. Step 5: Solve for x
    x = 272,652,028,461.76/517,519.01
  6. Step 6: Final answer
    x = 526,844.47

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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.