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Finding the Fourth Proportional to 464,216.40, 695,806.20 and 264,632.40

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Solution

The fourth proportional to 464,216.40, 695,806.20 and 264,632.40 is: 396,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,216.40 : 695,806.20 = 264,632.40 : x
  2. Step 2: Convert to fraction form
    464,216.40/695,806.20 = 264,632.40/x
  3. Step 3: Cross multiply
    464,216.40x = 695,806.20 × 264,632.40
  4. Step 4: Simplify right side
    464,216.40x = 184,132,864,640.88
  5. Step 5: Solve for x
    x = 184,132,864,640.88/464,216.40
  6. Step 6: Final answer
    x = 396,653.08

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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.