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Finding the Fourth Proportional to 473,114.80, 709,672.20 and 339,713.20

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Solution

The fourth proportional to 473,114.80, 709,672.20 and 339,713.20 is: 509,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,114.80 : 709,672.20 = 339,713.20 : x
  2. Step 2: Convert to fraction form
    473,114.80/709,672.20 = 339,713.20/x
  3. Step 3: Cross multiply
    473,114.80x = 709,672.20 × 339,713.20
  4. Step 4: Simplify right side
    473,114.80x = 241,085,014,013.04
  5. Step 5: Solve for x
    x = 241,085,014,013.04/473,114.80
  6. Step 6: Final answer
    x = 509,569.80

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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.