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Finding the Fourth Proportional to 652,205.80, 978,308.70 and 558,893.80

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Solution

The fourth proportional to 652,205.80, 978,308.70 and 558,893.80 is: 838,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,205.80 : 978,308.70 = 558,893.80 : x
  2. Step 2: Convert to fraction form
    652,205.80/978,308.70 = 558,893.80/x
  3. Step 3: Cross multiply
    652,205.80x = 978,308.70 × 558,893.80
  4. Step 4: Simplify right side
    652,205.80x = 546,770,666,916.06
  5. Step 5: Solve for x
    x = 546,770,666,916.06/652,205.80
  6. Step 6: Final answer
    x = 838,340.70

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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.