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Finding the Fourth Proportional to 340,543.26, 510,813.93 and 153,335.58

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Solution

The fourth proportional to 340,543.26, 510,813.93 and 153,335.58 is: 230,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,543.26 : 510,813.93 = 153,335.58 : x
  2. Step 2: Convert to fraction form
    340,543.26/510,813.93 = 153,335.58/x
  3. Step 3: Cross multiply
    340,543.26x = 510,813.93 × 153,335.58
  4. Step 4: Simplify right side
    340,543.26x = 78,325,950,228.63
  5. Step 5: Solve for x
    x = 78,325,950,228.63/340,543.26
  6. Step 6: Final answer
    x = 230,002.94

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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.