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Finding the Fourth Proportional to 464,720.40, 697,177.80 and 149,209.20

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Solution

The fourth proportional to 464,720.40, 697,177.80 and 149,209.20 is: 223,845.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,720.40 : 697,177.80 = 149,209.20 : x
  2. Step 2: Convert to fraction form
    464,720.40/697,177.80 = 149,209.20/x
  3. Step 3: Cross multiply
    464,720.40x = 697,177.80 × 149,209.20
  4. Step 4: Simplify right side
    464,720.40x = 104,025,341,795.76
  5. Step 5: Solve for x
    x = 104,025,341,795.76/464,720.40
  6. Step 6: Final answer
    x = 223,845.01

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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.