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Finding the Fourth Proportional to 643,180.70, 886,862.48 and 410,296.98

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Solution

The fourth proportional to 643,180.70, 886,862.48 and 410,296.98 is: 565,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,180.70 : 886,862.48 = 410,296.98 : x
  2. Step 2: Convert to fraction form
    643,180.70/886,862.48 = 410,296.98/x
  3. Step 3: Cross multiply
    643,180.70x = 886,862.48 × 410,296.98
  4. Step 4: Simplify right side
    643,180.70x = 363,876,997,219.31
  5. Step 5: Solve for x
    x = 363,876,997,219.31/643,180.70
  6. Step 6: Final answer
    x = 565,746.14

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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.