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Finding the Fourth Proportional to 532,746.18, 735,180.46 and 291,022.54

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Solution

The fourth proportional to 532,746.18, 735,180.46 and 291,022.54 is: 401,606.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,746.18 : 735,180.46 = 291,022.54 : x
  2. Step 2: Convert to fraction form
    532,746.18/735,180.46 = 291,022.54/x
  3. Step 3: Cross multiply
    532,746.18x = 735,180.46 × 291,022.54
  4. Step 4: Simplify right side
    532,746.18x = 213,954,084,827.57
  5. Step 5: Solve for x
    x = 213,954,084,827.57/532,746.18
  6. Step 6: Final answer
    x = 401,606.04

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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.