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Finding the Fourth Proportional to 652,050.80, 978,076.20 and 569,106.80

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Solution

The fourth proportional to 652,050.80, 978,076.20 and 569,106.80 is: 853,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,050.80 : 978,076.20 = 569,106.80 : x
  2. Step 2: Convert to fraction form
    652,050.80/978,076.20 = 569,106.80/x
  3. Step 3: Cross multiply
    652,050.80x = 978,076.20 × 569,106.80
  4. Step 4: Simplify right side
    652,050.80x = 556,629,816,338.16
  5. Step 5: Solve for x
    x = 556,629,816,338.16/652,050.80
  6. Step 6: Final answer
    x = 853,660.20

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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.