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Finding the Fourth Proportional to 472,952.04, 708,811.98 and 192,141

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Solution

The fourth proportional to 472,952.04, 708,811.98 and 192,141 is: 287,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,952.04 : 708,811.98 = 192,141 : x
  2. Step 2: Convert to fraction form
    472,952.04/708,811.98 = 192,141/x
  3. Step 3: Cross multiply
    472,952.04x = 708,811.98 × 192,141
  4. Step 4: Simplify right side
    472,952.04x = 136,191,842,649.18
  5. Step 5: Solve for x
    x = 136,191,842,649.18/472,952.04
  6. Step 6: Final answer
    x = 287,961.21

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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.