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Finding the Fourth Proportional to 464,217.40, 695,807.70 and 264,633.40

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Solution

The fourth proportional to 464,217.40, 695,807.70 and 264,633.40 is: 396,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,217.40 : 695,807.70 = 264,633.40 : x
  2. Step 2: Convert to fraction form
    464,217.40/695,807.70 = 264,633.40/x
  3. Step 3: Cross multiply
    464,217.40x = 695,807.70 × 264,633.40
  4. Step 4: Simplify right side
    464,217.40x = 184,133,957,397.18
  5. Step 5: Solve for x
    x = 184,133,957,397.18/464,217.40
  6. Step 6: Final answer
    x = 396,654.58

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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.