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Finding the Fourth Proportional to 710,847, 1,066,438.98 and 212,223.96

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Solution

The fourth proportional to 710,847, 1,066,438.98 and 212,223.96 is: 318,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,847 : 1,066,438.98 = 212,223.96 : x
  2. Step 2: Convert to fraction form
    710,847/1,066,438.98 = 212,223.96/x
  3. Step 3: Cross multiply
    710,847x = 1,066,438.98 × 212,223.96
  4. Step 4: Simplify right side
    710,847x = 226,323,903,433.96
  5. Step 5: Solve for x
    x = 226,323,903,433.96/710,847
  6. Step 6: Final answer
    x = 318,386.24

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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.