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Finding the Fourth Proportional to 601,454.25, 830,006.87 and 359,747.01

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Solution

The fourth proportional to 601,454.25, 830,006.87 and 359,747.01 is: 496,450.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,454.25 : 830,006.87 = 359,747.01 : x
  2. Step 2: Convert to fraction form
    601,454.25/830,006.87 = 359,747.01/x
  3. Step 3: Cross multiply
    601,454.25x = 830,006.87 × 359,747.01
  4. Step 4: Simplify right side
    601,454.25x = 298,592,487,963.22
  5. Step 5: Solve for x
    x = 298,592,487,963.22/601,454.25
  6. Step 6: Final answer
    x = 496,450.87

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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.