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Finding the Fourth Proportional to 365,740.32, 504,741.24 and 204,585.77

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Solution

The fourth proportional to 365,740.32, 504,741.24 and 204,585.77 is: 282,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,740.32 : 504,741.24 = 204,585.77 : x
  2. Step 2: Convert to fraction form
    365,740.32/504,741.24 = 204,585.77/x
  3. Step 3: Cross multiply
    365,740.32x = 504,741.24 × 204,585.77
  4. Step 4: Simplify right side
    365,740.32x = 103,262,872,712.45
  5. Step 5: Solve for x
    x = 103,262,872,712.45/365,740.32
  6. Step 6: Final answer
    x = 282,339.32

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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.