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Finding the Fourth Proportional to 650,828.16, 898,039.52 and 364,360.32

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Solution

The fourth proportional to 650,828.16, 898,039.52 and 364,360.32 is: 502,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,828.16 : 898,039.52 = 364,360.32 : x
  2. Step 2: Convert to fraction form
    650,828.16/898,039.52 = 364,360.32/x
  3. Step 3: Cross multiply
    650,828.16x = 898,039.52 × 364,360.32
  4. Step 4: Simplify right side
    650,828.16x = 327,209,966,879.85
  5. Step 5: Solve for x
    x = 327,209,966,879.85/650,828.16
  6. Step 6: Final answer
    x = 502,759.39

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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.