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Finding the Fourth Proportional to 465,513.51, 642,409.08 and 264,309.51

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Solution

The fourth proportional to 465,513.51, 642,409.08 and 264,309.51 is: 364,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,513.51 : 642,409.08 = 264,309.51 : x
  2. Step 2: Convert to fraction form
    465,513.51/642,409.08 = 264,309.51/x
  3. Step 3: Cross multiply
    465,513.51x = 642,409.08 × 264,309.51
  4. Step 4: Simplify right side
    465,513.51x = 169,794,829,154.35
  5. Step 5: Solve for x
    x = 169,794,829,154.35/465,513.51
  6. Step 6: Final answer
    x = 364,747.37

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1.5x scale

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.