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Finding the Fourth Proportional to 472,169.94, 708,393.36 and 152,315.40

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Solution

The fourth proportional to 472,169.94, 708,393.36 and 152,315.40 is: 228,517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,169.94 : 708,393.36 = 152,315.40 : x
  2. Step 2: Convert to fraction form
    472,169.94/708,393.36 = 152,315.40/x
  3. Step 3: Cross multiply
    472,169.94x = 708,393.36 × 152,315.40
  4. Step 4: Simplify right side
    472,169.94x = 107,899,217,985.74
  5. Step 5: Solve for x
    x = 107,899,217,985.74/472,169.94
  6. Step 6: Final answer
    x = 228,517.76

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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.