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Finding the Fourth Proportional to 416,421.81, 624,539.16 and 191,566.17

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Solution

The fourth proportional to 416,421.81, 624,539.16 and 191,566.17 is: 287,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,421.81 : 624,539.16 = 191,566.17 : x
  2. Step 2: Convert to fraction form
    416,421.81/624,539.16 = 191,566.17/x
  3. Step 3: Cross multiply
    416,421.81x = 624,539.16 × 191,566.17
  4. Step 4: Simplify right side
    416,421.81x = 119,640,574,896.22
  5. Step 5: Solve for x
    x = 119,640,574,896.22/416,421.81
  6. Step 6: Final answer
    x = 287,306.22

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1.5x scale

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.