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Finding the Fourth Proportional to 616,943.82, 851,347.08 and 341,285.16

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Solution

The fourth proportional to 616,943.82, 851,347.08 and 341,285.16 is: 470,953.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,943.82 : 851,347.08 = 341,285.16 : x
  2. Step 2: Convert to fraction form
    616,943.82/851,347.08 = 341,285.16/x
  3. Step 3: Cross multiply
    616,943.82x = 851,347.08 × 341,285.16
  4. Step 4: Simplify right side
    616,943.82x = 290,552,124,413.33
  5. Step 5: Solve for x
    x = 290,552,124,413.33/616,943.82
  6. Step 6: Final answer
    x = 470,953.94

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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.