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Finding the Fourth Proportional to 429,807.80, 644,711.70 and 114,296.60

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Solution

The fourth proportional to 429,807.80, 644,711.70 and 114,296.60 is: 171,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,807.80 : 644,711.70 = 114,296.60 : x
  2. Step 2: Convert to fraction form
    429,807.80/644,711.70 = 114,296.60/x
  3. Step 3: Cross multiply
    429,807.80x = 644,711.70 × 114,296.60
  4. Step 4: Simplify right side
    429,807.80x = 73,688,355,290.22
  5. Step 5: Solve for x
    x = 73,688,355,290.22/429,807.80
  6. Step 6: Final answer
    x = 171,444.90

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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.