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Finding the Fourth Proportional to 702,934.13, 970,053.71 and 380,644.24

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Solution

The fourth proportional to 702,934.13, 970,053.71 and 380,644.24 is: 525,291.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,934.13 : 970,053.71 = 380,644.24 : x
  2. Step 2: Convert to fraction form
    702,934.13/970,053.71 = 380,644.24/x
  3. Step 3: Cross multiply
    702,934.13x = 970,053.71 × 380,644.24
  4. Step 4: Simplify right side
    702,934.13x = 369,245,355,298.91
  5. Step 5: Solve for x
    x = 369,245,355,298.91/702,934.13
  6. Step 6: Final answer
    x = 525,291.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.