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Finding the Fourth Proportional to 517,347.66, 713,963.08 and 290,993.16

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Solution

The fourth proportional to 517,347.66, 713,963.08 and 290,993.16 is: 401,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,347.66 : 713,963.08 = 290,993.16 : x
  2. Step 2: Convert to fraction form
    517,347.66/713,963.08 = 290,993.16/x
  3. Step 3: Cross multiply
    517,347.66x = 713,963.08 × 290,993.16
  4. Step 4: Simplify right side
    517,347.66x = 207,758,372,772.53
  5. Step 5: Solve for x
    x = 207,758,372,772.53/517,347.66
  6. Step 6: Final answer
    x = 401,583.67

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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.