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Finding the Fourth Proportional to 985,932, 1,360,586.16 and 533,223

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Solution

The fourth proportional to 985,932, 1,360,586.16 and 533,223 is: 735,847.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,932 : 1,360,586.16 = 533,223 : x
  2. Step 2: Convert to fraction form
    985,932/1,360,586.16 = 533,223/x
  3. Step 3: Cross multiply
    985,932x = 1,360,586.16 × 533,223
  4. Step 4: Simplify right side
    985,932x = 725,495,833,993.68
  5. Step 5: Solve for x
    x = 725,495,833,993.68/985,932
  6. Step 6: Final answer
    x = 735,847.74

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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.