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Finding the Fourth Proportional to 652,042.80, 977,675.40 and 337,114.80

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Solution

The fourth proportional to 652,042.80, 977,675.40 and 337,114.80 is: 505,471.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,042.80 : 977,675.40 = 337,114.80 : x
  2. Step 2: Convert to fraction form
    652,042.80/977,675.40 = 337,114.80/x
  3. Step 3: Cross multiply
    652,042.80x = 977,675.40 × 337,114.80
  4. Step 4: Simplify right side
    652,042.80x = 329,588,846,935.92
  5. Step 5: Solve for x
    x = 329,588,846,935.92/652,042.80
  6. Step 6: Final answer
    x = 505,471.19

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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.