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Finding the Fourth Proportional to 577,109.83, 865,663.00 and 405,625.54

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Solution

The fourth proportional to 577,109.83, 865,663.00 and 405,625.54 is: 608,437.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,109.83 : 865,663.00 = 405,625.54 : x
  2. Step 2: Convert to fraction form
    577,109.83/865,663.00 = 405,625.54/x
  3. Step 3: Cross multiply
    577,109.83x = 865,663.00 × 405,625.54
  4. Step 4: Simplify right side
    577,109.83x = 351,135,020,277.92
  5. Step 5: Solve for x
    x = 351,135,020,277.92/577,109.83
  6. Step 6: Final answer
    x = 608,437.08

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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.