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Finding the Fourth Proportional to 562,054.84, 775,648.92 and 320,359.84

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Solution

The fourth proportional to 562,054.84, 775,648.92 and 320,359.84 is: 442,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,054.84 : 775,648.92 = 320,359.84 : x
  2. Step 2: Convert to fraction form
    562,054.84/775,648.92 = 320,359.84/x
  3. Step 3: Cross multiply
    562,054.84x = 775,648.92 × 320,359.84
  4. Step 4: Simplify right side
    562,054.84x = 248,486,763,907.37
  5. Step 5: Solve for x
    x = 248,486,763,907.37/562,054.84
  6. Step 6: Final answer
    x = 442,104.13

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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.