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Finding the Fourth Proportional to 616,334.34, 850,543.16 and 344,412.48

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Solution

The fourth proportional to 616,334.34, 850,543.16 and 344,412.48 is: 475,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,334.34 : 850,543.16 = 344,412.48 : x
  2. Step 2: Convert to fraction form
    616,334.34/850,543.16 = 344,412.48/x
  3. Step 3: Cross multiply
    616,334.34x = 850,543.16 × 344,412.48
  4. Step 4: Simplify right side
    616,334.34x = 292,937,677,360.57
  5. Step 5: Solve for x
    x = 292,937,677,360.57/616,334.34
  6. Step 6: Final answer
    x = 475,290.21

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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.