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Finding the Fourth Proportional to 466,978.40, 700,468.10 and 130,019.78

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Solution

The fourth proportional to 466,978.40, 700,468.10 and 130,019.78 is: 195,029.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,978.40 : 700,468.10 = 130,019.78 : x
  2. Step 2: Convert to fraction form
    466,978.40/700,468.10 = 130,019.78/x
  3. Step 3: Cross multiply
    466,978.40x = 700,468.10 × 130,019.78
  4. Step 4: Simplify right side
    466,978.40x = 91,074,708,259.02
  5. Step 5: Solve for x
    x = 91,074,708,259.02/466,978.40
  6. Step 6: Final answer
    x = 195,029.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.