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Finding the Fourth Proportional to 702,447.48, 969,373.98 and 380,157.66

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Solution

The fourth proportional to 702,447.48, 969,373.98 and 380,157.66 is: 524,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,447.48 : 969,373.98 = 380,157.66 : x
  2. Step 2: Convert to fraction form
    702,447.48/969,373.98 = 380,157.66/x
  3. Step 3: Cross multiply
    702,447.48x = 969,373.98 × 380,157.66
  4. Step 4: Simplify right side
    702,447.48x = 368,514,943,901.69
  5. Step 5: Solve for x
    x = 368,514,943,901.69/702,447.48
  6. Step 6: Final answer
    x = 524,615.65

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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.