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Finding the Fourth Proportional to 477,175.80, 715,763.70 and 365,201.40

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Solution

The fourth proportional to 477,175.80, 715,763.70 and 365,201.40 is: 547,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,175.80 : 715,763.70 = 365,201.40 : x
  2. Step 2: Convert to fraction form
    477,175.80/715,763.70 = 365,201.40/x
  3. Step 3: Cross multiply
    477,175.80x = 715,763.70 × 365,201.40
  4. Step 4: Simplify right side
    477,175.80x = 261,397,905,309.18
  5. Step 5: Solve for x
    x = 261,397,905,309.18/477,175.80
  6. Step 6: Final answer
    x = 547,802.10

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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.