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Finding the Fourth Proportional to 471,898.20, 707,814.90 and 152,045.40

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Solution

The fourth proportional to 471,898.20, 707,814.90 and 152,045.40 is: 228,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,898.20 : 707,814.90 = 152,045.40 : x
  2. Step 2: Convert to fraction form
    471,898.20/707,814.90 = 152,045.40/x
  3. Step 3: Cross multiply
    471,898.20x = 707,814.90 × 152,045.40
  4. Step 4: Simplify right side
    471,898.20x = 107,619,999,596.46
  5. Step 5: Solve for x
    x = 107,619,999,596.46/471,898.20
  6. Step 6: Final answer
    x = 228,057.66

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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.