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Finding the Fourth Proportional to 464,971.20, 696,790.71 and 264,878.43

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Solution

The fourth proportional to 464,971.20, 696,790.71 and 264,878.43 is: 396,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,971.20 : 696,790.71 = 264,878.43 : x
  2. Step 2: Convert to fraction form
    464,971.20/696,790.71 = 264,878.43/x
  3. Step 3: Cross multiply
    464,971.20x = 696,790.71 × 264,878.43
  4. Step 4: Simplify right side
    464,971.20x = 184,564,829,303.39
  5. Step 5: Solve for x
    x = 184,564,829,303.39/464,971.20
  6. Step 6: Final answer
    x = 396,938.20

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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.