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Finding the Fourth Proportional to 541,783.04, 745,949.94 and 477,212

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Solution

The fourth proportional to 541,783.04, 745,949.94 and 477,212 is: 657,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,783.04 : 745,949.94 = 477,212 : x
  2. Step 2: Convert to fraction form
    541,783.04/745,949.94 = 477,212/x
  3. Step 3: Cross multiply
    541,783.04x = 745,949.94 × 477,212
  4. Step 4: Simplify right side
    541,783.04x = 355,976,262,767.28
  5. Step 5: Solve for x
    x = 355,976,262,767.28/541,783.04
  6. Step 6: Final answer
    x = 657,045.78

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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.