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Finding the Fourth Proportional to 478,164.87, 716,914.40 and 211,780.98

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Solution

The fourth proportional to 478,164.87, 716,914.40 and 211,780.98 is: 317,524.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,164.87 : 716,914.40 = 211,780.98 : x
  2. Step 2: Convert to fraction form
    478,164.87/716,914.40 = 211,780.98/x
  3. Step 3: Cross multiply
    478,164.87x = 716,914.40 × 211,780.98
  4. Step 4: Simplify right side
    478,164.87x = 151,828,834,208.11
  5. Step 5: Solve for x
    x = 151,828,834,208.11/478,164.87
  6. Step 6: Final answer
    x = 317,524.03

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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.