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Finding the Fourth Proportional to 647,281.94, 893,228.51 and 405,694.98

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Solution

The fourth proportional to 647,281.94, 893,228.51 and 405,694.98 is: 559,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,281.94 : 893,228.51 = 405,694.98 : x
  2. Step 2: Convert to fraction form
    647,281.94/893,228.51 = 405,694.98/x
  3. Step 3: Cross multiply
    647,281.94x = 893,228.51 × 405,694.98
  4. Step 4: Simplify right side
    647,281.94x = 362,378,323,514.12
  5. Step 5: Solve for x
    x = 362,378,323,514.12/647,281.94
  6. Step 6: Final answer
    x = 559,846.19

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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.