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Finding the Fourth Proportional to 869,694.76, 1,200,235.53 and 502,187.40

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Solution

The fourth proportional to 869,694.76, 1,200,235.53 and 502,187.40 is: 693,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,694.76 : 1,200,235.53 = 502,187.40 : x
  2. Step 2: Convert to fraction form
    869,694.76/1,200,235.53 = 502,187.40/x
  3. Step 3: Cross multiply
    869,694.76x = 1,200,235.53 × 502,187.40
  4. Step 4: Simplify right side
    869,694.76x = 602,743,159,256.72
  5. Step 5: Solve for x
    x = 602,743,159,256.72/869,694.76
  6. Step 6: Final answer
    x = 693,051.39

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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.