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Finding the Fourth Proportional to 405,702.78, 607,759.29 and 192,052.86

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Solution

The fourth proportional to 405,702.78, 607,759.29 and 192,052.86 is: 287,703.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,702.78 : 607,759.29 = 192,052.86 : x
  2. Step 2: Convert to fraction form
    405,702.78/607,759.29 = 192,052.86/x
  3. Step 3: Cross multiply
    405,702.78x = 607,759.29 × 192,052.86
  4. Step 4: Simplify right side
    405,702.78x = 116,721,909,836.07
  5. Step 5: Solve for x
    x = 116,721,909,836.07/405,702.78
  6. Step 6: Final answer
    x = 287,703.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.