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Finding the Fourth Proportional to 505,209.18, 697,205.54 and 275,780.06

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Solution

The fourth proportional to 505,209.18, 697,205.54 and 275,780.06 is: 380,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,209.18 : 697,205.54 = 275,780.06 : x
  2. Step 2: Convert to fraction form
    505,209.18/697,205.54 = 275,780.06/x
  3. Step 3: Cross multiply
    505,209.18x = 697,205.54 × 275,780.06
  4. Step 4: Simplify right side
    505,209.18x = 192,275,385,653.53
  5. Step 5: Solve for x
    x = 192,275,385,653.53/505,209.18
  6. Step 6: Final answer
    x = 380,585.69

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1.5x scale

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.