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Finding the Fourth Proportional to 410,274.67, 615,686.90 and 144,035.98

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Solution

The fourth proportional to 410,274.67, 615,686.90 and 144,035.98 is: 216,150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,274.67 : 615,686.90 = 144,035.98 : x
  2. Step 2: Convert to fraction form
    410,274.67/615,686.90 = 144,035.98/x
  3. Step 3: Cross multiply
    410,274.67x = 615,686.90 × 144,035.98
  4. Step 4: Simplify right side
    410,274.67x = 88,681,066,014.66
  5. Step 5: Solve for x
    x = 88,681,066,014.66/410,274.67
  6. Step 6: Final answer
    x = 216,150.48

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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.