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Finding the Fourth Proportional to 478,284.66, 716,934.90 and 212,170.50

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Solution

The fourth proportional to 478,284.66, 716,934.90 and 212,170.50 is: 318,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,284.66 : 716,934.90 = 212,170.50 : x
  2. Step 2: Convert to fraction form
    478,284.66/716,934.90 = 212,170.50/x
  3. Step 3: Cross multiply
    478,284.66x = 716,934.90 × 212,170.50
  4. Step 4: Simplify right side
    478,284.66x = 152,112,436,200.45
  5. Step 5: Solve for x
    x = 152,112,436,200.45/478,284.66
  6. Step 6: Final answer
    x = 318,037.46

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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.