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Finding the Fourth Proportional to 472,468.94, 708,998.55 and 191,986.10

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Solution

The fourth proportional to 472,468.94, 708,998.55 and 191,986.10 is: 288,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,468.94 : 708,998.55 = 191,986.10 : x
  2. Step 2: Convert to fraction form
    472,468.94/708,998.55 = 191,986.10/x
  3. Step 3: Cross multiply
    472,468.94x = 708,998.55 × 191,986.10
  4. Step 4: Simplify right side
    472,468.94x = 136,117,866,520.16
  5. Step 5: Solve for x
    x = 136,117,866,520.16/472,468.94
  6. Step 6: Final answer
    x = 288,099.08

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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.