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Finding the Fourth Proportional to 472,106.93, 708,455.64 and 191,624.18

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Solution

The fourth proportional to 472,106.93, 708,455.64 and 191,624.18 is: 287,556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,106.93 : 708,455.64 = 191,624.18 : x
  2. Step 2: Convert to fraction form
    472,106.93/708,455.64 = 191,624.18/x
  3. Step 3: Cross multiply
    472,106.93x = 708,455.64 × 191,624.18
  4. Step 4: Simplify right side
    472,106.93x = 135,757,227,539.10
  5. Step 5: Solve for x
    x = 135,757,227,539.10/472,106.93
  6. Step 6: Final answer
    x = 287,556.10

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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.