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Finding the Fourth Proportional to 652,004.16, 899,808.93 and 365,542.80

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Solution

The fourth proportional to 652,004.16, 899,808.93 and 365,542.80 is: 504,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,004.16 : 899,808.93 = 365,542.80 : x
  2. Step 2: Convert to fraction form
    652,004.16/899,808.93 = 365,542.80/x
  3. Step 3: Cross multiply
    652,004.16x = 899,808.93 × 365,542.80
  4. Step 4: Simplify right side
    652,004.16x = 328,918,675,737.20
  5. Step 5: Solve for x
    x = 328,918,675,737.20/652,004.16
  6. Step 6: Final answer
    x = 504,473.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.