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Finding the Fourth Proportional to 415,838.60, 622,883.10 and 345,854.60

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Solution

The fourth proportional to 415,838.60, 622,883.10 and 345,854.60 is: 518,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,838.60 : 622,883.10 = 345,854.60 : x
  2. Step 2: Convert to fraction form
    415,838.60/622,883.10 = 345,854.60/x
  3. Step 3: Cross multiply
    415,838.60x = 622,883.10 × 345,854.60
  4. Step 4: Simplify right side
    415,838.60x = 215,426,985,397.26
  5. Step 5: Solve for x
    x = 215,426,985,397.26/415,838.60
  6. Step 6: Final answer
    x = 518,054.33

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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.