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Finding the Fourth Proportional to 472,088.50, 707,617.59 and 232,367.38

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Solution

The fourth proportional to 472,088.50, 707,617.59 and 232,367.38 is: 348,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,088.50 : 707,617.59 = 232,367.38 : x
  2. Step 2: Convert to fraction form
    472,088.50/707,617.59 = 232,367.38/x
  3. Step 3: Cross multiply
    472,088.50x = 707,617.59 × 232,367.38
  4. Step 4: Simplify right side
    472,088.50x = 164,427,245,430.21
  5. Step 5: Solve for x
    x = 164,427,245,430.21/472,088.50
  6. Step 6: Final answer
    x = 348,297.50

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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.