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Finding the Fourth Proportional to 529,702.91, 730,986.38 and 287,985.48

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Solution

The fourth proportional to 529,702.91, 730,986.38 and 287,985.48 is: 397,417.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,702.91 : 730,986.38 = 287,985.48 : x
  2. Step 2: Convert to fraction form
    529,702.91/730,986.38 = 287,985.48/x
  3. Step 3: Cross multiply
    529,702.91x = 730,986.38 × 287,985.48
  4. Step 4: Simplify right side
    529,702.91x = 210,513,463,517.76
  5. Step 5: Solve for x
    x = 210,513,463,517.76/529,702.91
  6. Step 6: Final answer
    x = 397,417.99

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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.