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Finding the Fourth Proportional to 529,095.25, 730,156.80 and 287,382.54

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Solution

The fourth proportional to 529,095.25, 730,156.80 and 287,382.54 is: 396,590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,095.25 : 730,156.80 = 287,382.54 : x
  2. Step 2: Convert to fraction form
    529,095.25/730,156.80 = 287,382.54/x
  3. Step 3: Cross multiply
    529,095.25x = 730,156.80 × 287,382.54
  4. Step 4: Simplify right side
    529,095.25x = 209,834,314,345.36
  5. Step 5: Solve for x
    x = 209,834,314,345.36/529,095.25
  6. Step 6: Final answer
    x = 396,590.81

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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.