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Finding the Fourth Proportional to 472,349.40, 708,662.16 and 152,493.80

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Solution

The fourth proportional to 472,349.40, 708,662.16 and 152,493.80 is: 228,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,349.40 : 708,662.16 = 152,493.80 : x
  2. Step 2: Convert to fraction form
    472,349.40/708,662.16 = 152,493.80/x
  3. Step 3: Cross multiply
    472,349.40x = 708,662.16 × 152,493.80
  4. Step 4: Simplify right side
    472,349.40x = 108,066,585,694.61
  5. Step 5: Solve for x
    x = 108,066,585,694.61/472,349.40
  6. Step 6: Final answer
    x = 228,785.27

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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.