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Finding the Fourth Proportional to 472,206.32, 651,667.82 and 265,539.75

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Solution

The fourth proportional to 472,206.32, 651,667.82 and 265,539.75 is: 366,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,206.32 : 651,667.82 = 265,539.75 : x
  2. Step 2: Convert to fraction form
    472,206.32/651,667.82 = 265,539.75/x
  3. Step 3: Cross multiply
    472,206.32x = 651,667.82 × 265,539.75
  4. Step 4: Simplify right side
    472,206.32x = 173,043,711,393.69
  5. Step 5: Solve for x
    x = 173,043,711,393.69/472,206.32
  6. Step 6: Final answer
    x = 366,457.85

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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.