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Finding the Fourth Proportional to 414,497.70, 621,746.55 and 148,266.90

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Solution

The fourth proportional to 414,497.70, 621,746.55 and 148,266.90 is: 222,400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,497.70 : 621,746.55 = 148,266.90 : x
  2. Step 2: Convert to fraction form
    414,497.70/621,746.55 = 148,266.90/x
  3. Step 3: Cross multiply
    414,497.70x = 621,746.55 × 148,266.90
  4. Step 4: Simplify right side
    414,497.70x = 92,184,433,554.20
  5. Step 5: Solve for x
    x = 92,184,433,554.20/414,497.70
  6. Step 6: Final answer
    x = 222,400.35

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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.