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Finding the Fourth Proportional to 473,270.82, 653,804.64 and 409,497.90

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Solution

The fourth proportional to 473,270.82, 653,804.64 and 409,497.90 is: 565,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,270.82 : 653,804.64 = 409,497.90 : x
  2. Step 2: Convert to fraction form
    473,270.82/653,804.64 = 409,497.90/x
  3. Step 3: Cross multiply
    473,270.82x = 653,804.64 × 409,497.90
  4. Step 4: Simplify right side
    473,270.82x = 267,731,627,090.26
  5. Step 5: Solve for x
    x = 267,731,627,090.26/473,270.82
  6. Step 6: Final answer
    x = 565,704.91

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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.