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Finding the Fourth Proportional to 703,646.81, 971,035.94 and 381,356.82

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Solution

The fourth proportional to 703,646.81, 971,035.94 and 381,356.82 is: 526,274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,646.81 : 971,035.94 = 381,356.82 : x
  2. Step 2: Convert to fraction form
    703,646.81/971,035.94 = 381,356.82/x
  3. Step 3: Cross multiply
    703,646.81x = 971,035.94 × 381,356.82
  4. Step 4: Simplify right side
    703,646.81x = 370,311,178,184.11
  5. Step 5: Solve for x
    x = 370,311,178,184.11/703,646.81
  6. Step 6: Final answer
    x = 526,274.22

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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.