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Finding the Fourth Proportional to 705,153.26, 971,368.40 and 601,449.62

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Solution

The fourth proportional to 705,153.26, 971,368.40 and 601,449.62 is: 828,513.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,153.26 : 971,368.40 = 601,449.62 : x
  2. Step 2: Convert to fraction form
    705,153.26/971,368.40 = 601,449.62/x
  3. Step 3: Cross multiply
    705,153.26x = 971,368.40 × 601,449.62
  4. Step 4: Simplify right side
    705,153.26x = 584,229,155,060.01
  5. Step 5: Solve for x
    x = 584,229,155,060.01/705,153.26
  6. Step 6: Final answer
    x = 828,513.73

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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.