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Finding the Fourth Proportional to 533,671.86, 799,225.08 and 305,275.02

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Solution

The fourth proportional to 533,671.86, 799,225.08 and 305,275.02 is: 457,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,671.86 : 799,225.08 = 305,275.02 : x
  2. Step 2: Convert to fraction form
    533,671.86/799,225.08 = 305,275.02/x
  3. Step 3: Cross multiply
    533,671.86x = 799,225.08 × 305,275.02
  4. Step 4: Simplify right side
    533,671.86x = 243,983,452,281.50
  5. Step 5: Solve for x
    x = 243,983,452,281.50/533,671.86
  6. Step 6: Final answer
    x = 457,178.78

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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.