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Finding the Fourth Proportional to 389,994.60, 584,117.10 and 320,010.60

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Solution

The fourth proportional to 389,994.60, 584,117.10 and 320,010.60 is: 479,298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,994.60 : 584,117.10 = 320,010.60 : x
  2. Step 2: Convert to fraction form
    389,994.60/584,117.10 = 320,010.60/x
  3. Step 3: Cross multiply
    389,994.60x = 584,117.10 × 320,010.60
  4. Step 4: Simplify right side
    389,994.60x = 186,923,663,641.26
  5. Step 5: Solve for x
    x = 186,923,663,641.26/389,994.60
  6. Step 6: Final answer
    x = 479,298.08

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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.