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Finding the Fourth Proportional to 475,051.80, 711,584.10 and 222,547.80

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Solution

The fourth proportional to 475,051.80, 711,584.10 and 222,547.80 is: 333,356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,051.80 : 711,584.10 = 222,547.80 : x
  2. Step 2: Convert to fraction form
    475,051.80/711,584.10 = 222,547.80/x
  3. Step 3: Cross multiply
    475,051.80x = 711,584.10 × 222,547.80
  4. Step 4: Simplify right side
    475,051.80x = 158,361,475,969.98
  5. Step 5: Solve for x
    x = 158,361,475,969.98/475,051.80
  6. Step 6: Final answer
    x = 333,356.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.