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Finding the Fourth Proportional to 471,859.71, 707,901.75 and 152,041.82

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Solution

The fourth proportional to 471,859.71, 707,901.75 and 152,041.82 is: 228,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,859.71 : 707,901.75 = 152,041.82 : x
  2. Step 2: Convert to fraction form
    471,859.71/707,901.75 = 152,041.82/x
  3. Step 3: Cross multiply
    471,859.71x = 707,901.75 × 152,041.82
  4. Step 4: Simplify right side
    471,859.71x = 107,630,666,911.68
  5. Step 5: Solve for x
    x = 107,630,666,911.68/471,859.71
  6. Step 6: Final answer
    x = 228,098.87

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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.