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Finding the Fourth Proportional to 715,496.64, 987,518.37 and 409,573.02

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Solution

The fourth proportional to 715,496.64, 987,518.37 and 409,573.02 is: 565,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,496.64 : 987,518.37 = 409,573.02 : x
  2. Step 2: Convert to fraction form
    715,496.64/987,518.37 = 409,573.02/x
  3. Step 3: Cross multiply
    715,496.64x = 987,518.37 × 409,573.02
  4. Step 4: Simplify right side
    715,496.64x = 404,460,881,106.38
  5. Step 5: Solve for x
    x = 404,460,881,106.38/715,496.64
  6. Step 6: Final answer
    x = 565,286.90

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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.