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Finding the Fourth Proportional to 473,004.69, 709,085.20 and 173,415.46

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Solution

The fourth proportional to 473,004.69, 709,085.20 and 173,415.46 is: 259,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,004.69 : 709,085.20 = 173,415.46 : x
  2. Step 2: Convert to fraction form
    473,004.69/709,085.20 = 173,415.46/x
  3. Step 3: Cross multiply
    473,004.69x = 709,085.20 × 173,415.46
  4. Step 4: Simplify right side
    473,004.69x = 122,966,333,103.60
  5. Step 5: Solve for x
    x = 122,966,333,103.60/473,004.69
  6. Step 6: Final answer
    x = 259,968.53

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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.