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Finding the Fourth Proportional to 473,106.80, 709,660.20 and 339,705.20

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Solution

The fourth proportional to 473,106.80, 709,660.20 and 339,705.20 is: 509,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,106.80 : 709,660.20 = 339,705.20 : x
  2. Step 2: Convert to fraction form
    473,106.80/709,660.20 = 339,705.20/x
  3. Step 3: Cross multiply
    473,106.80x = 709,660.20 × 339,705.20
  4. Step 4: Simplify right side
    473,106.80x = 241,075,260,173.04
  5. Step 5: Solve for x
    x = 241,075,260,173.04/473,106.80
  6. Step 6: Final answer
    x = 509,557.80

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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.