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Finding the Fourth Proportional to 564,012.84, 778,437.21 and 334,696.57

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Solution

The fourth proportional to 564,012.84, 778,437.21 and 334,696.57 is: 461,940.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,012.84 : 778,437.21 = 334,696.57 : x
  2. Step 2: Convert to fraction form
    564,012.84/778,437.21 = 334,696.57/x
  3. Step 3: Cross multiply
    564,012.84x = 778,437.21 × 334,696.57
  4. Step 4: Simplify right side
    564,012.84x = 260,540,264,147.37
  5. Step 5: Solve for x
    x = 260,540,264,147.37/564,012.84
  6. Step 6: Final answer
    x = 461,940.31

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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.