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Finding the Fourth Proportional to 470,601.18, 705,909.06 and 150,813.18

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Solution

The fourth proportional to 470,601.18, 705,909.06 and 150,813.18 is: 226,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,601.18 : 705,909.06 = 150,813.18 : x
  2. Step 2: Convert to fraction form
    470,601.18/705,909.06 = 150,813.18/x
  3. Step 3: Cross multiply
    470,601.18x = 705,909.06 × 150,813.18
  4. Step 4: Simplify right side
    470,601.18x = 106,460,390,129.41
  5. Step 5: Solve for x
    x = 106,460,390,129.41/470,601.18
  6. Step 6: Final answer
    x = 226,222.11

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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.