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Finding the Fourth Proportional to 465,004.40, 697,603.80 and 149,493.20

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Solution

The fourth proportional to 465,004.40, 697,603.80 and 149,493.20 is: 224,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,004.40 : 697,603.80 = 149,493.20 : x
  2. Step 2: Convert to fraction form
    465,004.40/697,603.80 = 149,493.20/x
  3. Step 3: Cross multiply
    465,004.40x = 697,603.80 × 149,493.20
  4. Step 4: Simplify right side
    465,004.40x = 104,287,024,394.16
  5. Step 5: Solve for x
    x = 104,287,024,394.16/465,004.40
  6. Step 6: Final answer
    x = 224,271.05

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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.