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Finding the Fourth Proportional to 702,710.57, 969,742.77 and 380,419.91

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Solution

The fourth proportional to 702,710.57, 969,742.77 and 380,419.91 is: 524,980.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,710.57 : 969,742.77 = 380,419.91 : x
  2. Step 2: Convert to fraction form
    702,710.57/969,742.77 = 380,419.91/x
  3. Step 3: Cross multiply
    702,710.57x = 969,742.77 × 380,419.91
  4. Step 4: Simplify right side
    702,710.57x = 368,909,454,647.80
  5. Step 5: Solve for x
    x = 368,909,454,647.80/702,710.57
  6. Step 6: Final answer
    x = 524,980.65

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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.