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Finding the Fourth Proportional to 628,294.16, 942,743.64 and 312,778.64

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Solution

The fourth proportional to 628,294.16, 942,743.64 and 312,778.64 is: 469,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,294.16 : 942,743.64 = 312,778.64 : x
  2. Step 2: Convert to fraction form
    628,294.16/942,743.64 = 312,778.64/x
  3. Step 3: Cross multiply
    628,294.16x = 942,743.64 × 312,778.64
  4. Step 4: Simplify right side
    628,294.16x = 294,870,073,587.85
  5. Step 5: Solve for x
    x = 294,870,073,587.85/628,294.16
  6. Step 6: Final answer
    x = 469,318.50

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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.