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Finding the Fourth Proportional to 353,812.40, 488,738.70 and 282,691.16

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Solution

The fourth proportional to 353,812.40, 488,738.70 and 282,691.16 is: 390,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,812.40 : 488,738.70 = 282,691.16 : x
  2. Step 2: Convert to fraction form
    353,812.40/488,738.70 = 282,691.16/x
  3. Step 3: Cross multiply
    353,812.40x = 488,738.70 × 282,691.16
  4. Step 4: Simplify right side
    353,812.40x = 138,162,110,039.89
  5. Step 5: Solve for x
    x = 138,162,110,039.89/353,812.40
  6. Step 6: Final answer
    x = 390,495.39

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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.