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Finding the Fourth Proportional to 702,693.74, 969,717.68 and 380,403.83

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Solution

The fourth proportional to 702,693.74, 969,717.68 and 380,403.83 is: 524,957.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,693.74 : 969,717.68 = 380,403.83 : x
  2. Step 2: Convert to fraction form
    702,693.74/969,717.68 = 380,403.83/x
  3. Step 3: Cross multiply
    702,693.74x = 969,717.68 × 380,403.83
  4. Step 4: Simplify right side
    702,693.74x = 368,884,317,588.70
  5. Step 5: Solve for x
    x = 368,884,317,588.70/702,693.74
  6. Step 6: Final answer
    x = 524,957.46

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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.