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Finding the Fourth Proportional to 472,205.94, 651,667.31 and 265,539.38

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Solution

The fourth proportional to 472,205.94, 651,667.31 and 265,539.38 is: 366,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,205.94 : 651,667.31 = 265,539.38 : x
  2. Step 2: Convert to fraction form
    472,205.94/651,667.31 = 265,539.38/x
  3. Step 3: Cross multiply
    472,205.94x = 651,667.31 × 265,539.38
  4. Step 4: Simplify right side
    472,205.94x = 173,043,333,463.67
  5. Step 5: Solve for x
    x = 173,043,333,463.67/472,205.94
  6. Step 6: Final answer
    x = 366,457.34

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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.