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Finding the Fourth Proportional to 507,169.66, 760,828.65 and 152,211.73

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Solution

The fourth proportional to 507,169.66, 760,828.65 and 152,211.73 is: 228,339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,169.66 : 760,828.65 = 152,211.73 : x
  2. Step 2: Convert to fraction form
    507,169.66/760,828.65 = 152,211.73/x
  3. Step 3: Cross multiply
    507,169.66x = 760,828.65 × 152,211.73
  4. Step 4: Simplify right side
    507,169.66x = 115,807,045,050.07
  5. Step 5: Solve for x
    x = 115,807,045,050.07/507,169.66
  6. Step 6: Final answer
    x = 228,339.85

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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.