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Finding the Fourth Proportional to 564,519.58, 778,682.64 and 334,914.31

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Solution

The fourth proportional to 564,519.58, 778,682.64 and 334,914.31 is: 461,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,519.58 : 778,682.64 = 334,914.31 : x
  2. Step 2: Convert to fraction form
    564,519.58/778,682.64 = 334,914.31/x
  3. Step 3: Cross multiply
    564,519.58x = 778,682.64 × 334,914.31
  4. Step 4: Simplify right side
    564,519.58x = 260,791,959,084.58
  5. Step 5: Solve for x
    x = 260,791,959,084.58/564,519.58
  6. Step 6: Final answer
    x = 461,971.50

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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.