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Finding the Fourth Proportional to 563,744.58, 777,961.71 and 309,095.34

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Solution

The fourth proportional to 563,744.58, 777,961.71 and 309,095.34 is: 426,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,744.58 : 777,961.71 = 309,095.34 : x
  2. Step 2: Convert to fraction form
    563,744.58/777,961.71 = 309,095.34/x
  3. Step 3: Cross multiply
    563,744.58x = 777,961.71 × 309,095.34
  4. Step 4: Simplify right side
    563,744.58x = 240,464,339,259.43
  5. Step 5: Solve for x
    x = 240,464,339,259.43/563,744.58
  6. Step 6: Final answer
    x = 426,548.38

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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.