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Finding the Fourth Proportional to 468,319.16, 646,290.42 and 264,330.92

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Solution

The fourth proportional to 468,319.16, 646,290.42 and 264,330.92 is: 364,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,319.16 : 646,290.42 = 264,330.92 : x
  2. Step 2: Convert to fraction form
    468,319.16/646,290.42 = 264,330.92/x
  3. Step 3: Cross multiply
    468,319.16x = 646,290.42 × 264,330.92
  4. Step 4: Simplify right side
    468,319.16x = 170,834,541,305.79
  5. Step 5: Solve for x
    x = 170,834,541,305.79/468,319.16
  6. Step 6: Final answer
    x = 364,782.30

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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.