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Finding the Fourth Proportional to 265,028.86, 365,875.32 and 204,463.54

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Solution

The fourth proportional to 265,028.86, 365,875.32 and 204,463.54 is: 282,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,028.86 : 365,875.32 = 204,463.54 : x
  2. Step 2: Convert to fraction form
    265,028.86/365,875.32 = 204,463.54/x
  3. Step 3: Cross multiply
    265,028.86x = 365,875.32 × 204,463.54
  4. Step 4: Simplify right side
    265,028.86x = 74,808,163,125.83
  5. Step 5: Solve for x
    x = 74,808,163,125.83/265,028.86
  6. Step 6: Final answer
    x = 282,264.22

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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.