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Finding the Fourth Proportional to 310,820.64, 466,308.48 and 100,479.84

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Solution

The fourth proportional to 310,820.64, 466,308.48 and 100,479.84 is: 150,744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,820.64 : 466,308.48 = 100,479.84 : x
  2. Step 2: Convert to fraction form
    310,820.64/466,308.48 = 100,479.84/x
  3. Step 3: Cross multiply
    310,820.64x = 466,308.48 × 100,479.84
  4. Step 4: Simplify right side
    310,820.64x = 46,854,601,461.04
  5. Step 5: Solve for x
    x = 46,854,601,461.04/310,820.64
  6. Step 6: Final answer
    x = 150,744.82

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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.