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Finding the Fourth Proportional to 470,032.08, 704,914.20 and 133,050.64

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Solution

The fourth proportional to 470,032.08, 704,914.20 and 133,050.64 is: 199,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,032.08 : 704,914.20 = 133,050.64 : x
  2. Step 2: Convert to fraction form
    470,032.08/704,914.20 = 133,050.64/x
  3. Step 3: Cross multiply
    470,032.08x = 704,914.20 × 133,050.64
  4. Step 4: Simplify right side
    470,032.08x = 93,789,285,455.09
  5. Step 5: Solve for x
    x = 93,789,285,455.09/470,032.08
  6. Step 6: Final answer
    x = 199,538.05

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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.