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Finding the Fourth Proportional to 652,091.80, 978,137.70 and 589,106.20

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Solution

The fourth proportional to 652,091.80, 978,137.70 and 589,106.20 is: 883,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,091.80 : 978,137.70 = 589,106.20 : x
  2. Step 2: Convert to fraction form
    652,091.80/978,137.70 = 589,106.20/x
  3. Step 3: Cross multiply
    652,091.80x = 978,137.70 × 589,106.20
  4. Step 4: Simplify right side
    652,091.80x = 576,226,983,523.74
  5. Step 5: Solve for x
    x = 576,226,983,523.74/652,091.80
  6. Step 6: Final answer
    x = 883,659.30

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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.