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Finding the Fourth Proportional to 470,237.70, 705,356.55 and 154,704.90

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Solution

The fourth proportional to 470,237.70, 705,356.55 and 154,704.90 is: 232,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,237.70 : 705,356.55 = 154,704.90 : x
  2. Step 2: Convert to fraction form
    470,237.70/705,356.55 = 154,704.90/x
  3. Step 3: Cross multiply
    470,237.70x = 705,356.55 × 154,704.90
  4. Step 4: Simplify right side
    470,237.70x = 109,122,114,532.10
  5. Step 5: Solve for x
    x = 109,122,114,532.10/470,237.70
  6. Step 6: Final answer
    x = 232,057.35

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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.