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Finding the Fourth Proportional to 864,651.38, 1,193,128.21 and 502,004.39

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Solution

The fourth proportional to 864,651.38, 1,193,128.21 and 502,004.39 is: 692,713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,651.38 : 1,193,128.21 = 502,004.39 : x
  2. Step 2: Convert to fraction form
    864,651.38/1,193,128.21 = 502,004.39/x
  3. Step 3: Cross multiply
    864,651.38x = 1,193,128.21 × 502,004.39
  4. Step 4: Simplify right side
    864,651.38x = 598,955,593,914.71
  5. Step 5: Solve for x
    x = 598,955,593,914.71/864,651.38
  6. Step 6: Final answer
    x = 692,713.40

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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.