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Finding the Fourth Proportional to 473,499.71, 710,249.49 and 173,850.64

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Solution

The fourth proportional to 473,499.71, 710,249.49 and 173,850.64 is: 260,775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,499.71 : 710,249.49 = 173,850.64 : x
  2. Step 2: Convert to fraction form
    473,499.71/710,249.49 = 173,850.64/x
  3. Step 3: Cross multiply
    473,499.71x = 710,249.49 × 173,850.64
  4. Step 4: Simplify right side
    473,499.71x = 123,477,328,396.17
  5. Step 5: Solve for x
    x = 123,477,328,396.17/473,499.71
  6. Step 6: Final answer
    x = 260,775.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.