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Finding the Fourth Proportional to 579,552, 799,784.64 and 338,002.08

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Solution

The fourth proportional to 579,552, 799,784.64 and 338,002.08 is: 466,444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,552 : 799,784.64 = 338,002.08 : x
  2. Step 2: Convert to fraction form
    579,552/799,784.64 = 338,002.08/x
  3. Step 3: Cross multiply
    579,552x = 799,784.64 × 338,002.08
  4. Step 4: Simplify right side
    579,552x = 270,328,871,872.05
  5. Step 5: Solve for x
    x = 270,328,871,872.05/579,552
  6. Step 6: Final answer
    x = 466,444.55

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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.