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Finding the Fourth Proportional to 687,870, 949,260.60 and 386,064

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Solution

The fourth proportional to 687,870, 949,260.60 and 386,064 is: 532,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,870 : 949,260.60 = 386,064 : x
  2. Step 2: Convert to fraction form
    687,870/949,260.60 = 386,064/x
  3. Step 3: Cross multiply
    687,870x = 949,260.60 × 386,064
  4. Step 4: Simplify right side
    687,870x = 366,475,344,278.40
  5. Step 5: Solve for x
    x = 366,475,344,278.40/687,870
  6. Step 6: Final answer
    x = 532,768.32

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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.