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Finding the Fourth Proportional to 585,092.80, 807,386.16 and 343,385.20

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Solution

The fourth proportional to 585,092.80, 807,386.16 and 343,385.20 is: 473,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,092.80 : 807,386.16 = 343,385.20 : x
  2. Step 2: Convert to fraction form
    585,092.80/807,386.16 = 343,385.20/x
  3. Step 3: Cross multiply
    585,092.80x = 807,386.16 × 343,385.20
  4. Step 4: Simplify right side
    585,092.80x = 277,244,458,028.83
  5. Step 5: Solve for x
    x = 277,244,458,028.83/585,092.80
  6. Step 6: Final answer
    x = 473,846.98

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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.