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Finding the Fourth Proportional to 986,614, 1,361,527.32 and 533,905

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Solution

The fourth proportional to 986,614, 1,361,527.32 and 533,905 is: 736,788.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,614 : 1,361,527.32 = 533,905 : x
  2. Step 2: Convert to fraction form
    986,614/1,361,527.32 = 533,905/x
  3. Step 3: Cross multiply
    986,614x = 1,361,527.32 × 533,905
  4. Step 4: Simplify right side
    986,614x = 726,926,243,784.60
  5. Step 5: Solve for x
    x = 726,926,243,784.60/986,614
  6. Step 6: Final answer
    x = 736,788.90

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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.