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Finding the Fourth Proportional to 517,664.61, 714,267.35 and 326,567.25

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Solution

The fourth proportional to 517,664.61, 714,267.35 and 326,567.25 is: 450,593.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,664.61 : 714,267.35 = 326,567.25 : x
  2. Step 2: Convert to fraction form
    517,664.61/714,267.35 = 326,567.25/x
  3. Step 3: Cross multiply
    517,664.61x = 714,267.35 × 326,567.25
  4. Step 4: Simplify right side
    517,664.61x = 233,256,323,846.08
  5. Step 5: Solve for x
    x = 233,256,323,846.08/517,664.61
  6. Step 6: Final answer
    x = 450,593.53

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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.