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Finding the Fourth Proportional to 473,110.80, 709,666.20 and 339,709.20

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Solution

The fourth proportional to 473,110.80, 709,666.20 and 339,709.20 is: 509,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,110.80 : 709,666.20 = 339,709.20 : x
  2. Step 2: Convert to fraction form
    473,110.80/709,666.20 = 339,709.20/x
  3. Step 3: Cross multiply
    473,110.80x = 709,666.20 × 339,709.20
  4. Step 4: Simplify right side
    473,110.80x = 241,080,137,069.04
  5. Step 5: Solve for x
    x = 241,080,137,069.04/473,110.80
  6. Step 6: Final answer
    x = 509,563.80

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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.