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Finding the Fourth Proportional to 468,751.86, 646,917.33 and 264,840.24

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Solution

The fourth proportional to 468,751.86, 646,917.33 and 264,840.24 is: 365,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,751.86 : 646,917.33 = 264,840.24 : x
  2. Step 2: Convert to fraction form
    468,751.86/646,917.33 = 264,840.24/x
  3. Step 3: Cross multiply
    468,751.86x = 646,917.33 × 264,840.24
  4. Step 4: Simplify right side
    468,751.86x = 171,329,740,937.36
  5. Step 5: Solve for x
    x = 171,329,740,937.36/468,751.86
  6. Step 6: Final answer
    x = 365,502.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.