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Finding the Fourth Proportional to 575,744.74, 864,365.47 and 442,718.41

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Solution

The fourth proportional to 575,744.74, 864,365.47 and 442,718.41 is: 664,653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,744.74 : 864,365.47 = 442,718.41 : x
  2. Step 2: Convert to fraction form
    575,744.74/864,365.47 = 442,718.41/x
  3. Step 3: Cross multiply
    575,744.74x = 864,365.47 × 442,718.41
  4. Step 4: Simplify right side
    575,744.74x = 382,670,503,269.59
  5. Step 5: Solve for x
    x = 382,670,503,269.59/575,744.74
  6. Step 6: Final answer
    x = 664,653.06

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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.