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Finding the Fourth Proportional to 650,894.52, 898,268.22 and 364,397.52

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Solution

The fourth proportional to 650,894.52, 898,268.22 and 364,397.52 is: 502,887.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,894.52 : 898,268.22 = 364,397.52 : x
  2. Step 2: Convert to fraction form
    650,894.52/898,268.22 = 364,397.52/x
  3. Step 3: Cross multiply
    650,894.52x = 898,268.22 × 364,397.52
  4. Step 4: Simplify right side
    650,894.52x = 327,326,711,662.81
  5. Step 5: Solve for x
    x = 327,326,711,662.81/650,894.52
  6. Step 6: Final answer
    x = 502,887.49

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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.