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Finding the Fourth Proportional to 464,722.40, 697,180.80 and 149,211.20

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Solution

The fourth proportional to 464,722.40, 697,180.80 and 149,211.20 is: 223,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,722.40 : 697,180.80 = 149,211.20 : x
  2. Step 2: Convert to fraction form
    464,722.40/697,180.80 = 149,211.20/x
  3. Step 3: Cross multiply
    464,722.40x = 697,180.80 × 149,211.20
  4. Step 4: Simplify right side
    464,722.40x = 104,027,183,784.96
  5. Step 5: Solve for x
    x = 104,027,183,784.96/464,722.40
  6. Step 6: Final answer
    x = 223,848.01

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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.