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Finding the Fourth Proportional to 565,338.29, 780,233.21 and 335,897.48

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Solution

The fourth proportional to 565,338.29, 780,233.21 and 335,897.48 is: 463,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,338.29 : 780,233.21 = 335,897.48 : x
  2. Step 2: Convert to fraction form
    565,338.29/780,233.21 = 335,897.48/x
  3. Step 3: Cross multiply
    565,338.29x = 780,233.21 × 335,897.48
  4. Step 4: Simplify right side
    565,338.29x = 262,078,370,582.02
  5. Step 5: Solve for x
    x = 262,078,370,582.02/565,338.29
  6. Step 6: Final answer
    x = 463,577.96

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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.