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Finding the Fourth Proportional to 472,198, 708,435.36 and 152,343.36

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Solution

The fourth proportional to 472,198, 708,435.36 and 152,343.36 is: 228,559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,198 : 708,435.36 = 152,343.36 : x
  2. Step 2: Convert to fraction form
    472,198/708,435.36 = 152,343.36/x
  3. Step 3: Cross multiply
    472,198x = 708,435.36 × 152,343.36
  4. Step 4: Simplify right side
    472,198x = 107,925,423,085.21
  5. Step 5: Solve for x
    x = 107,925,423,085.21/472,198
  6. Step 6: Final answer
    x = 228,559.68

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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.