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Finding the Fourth Proportional to 354,802.85, 531,916.92 and 242,199.48

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Solution

The fourth proportional to 354,802.85, 531,916.92 and 242,199.48 is: 363,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,802.85 : 531,916.92 = 242,199.48 : x
  2. Step 2: Convert to fraction form
    354,802.85/531,916.92 = 242,199.48/x
  3. Step 3: Cross multiply
    354,802.85x = 531,916.92 × 242,199.48
  4. Step 4: Simplify right side
    354,802.85x = 128,830,001,427.20
  5. Step 5: Solve for x
    x = 128,830,001,427.20/354,802.85
  6. Step 6: Final answer
    x = 363,103.07

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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.