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Finding the Fourth Proportional to 467,034, 644,507.64 and 265,830

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Solution

The fourth proportional to 467,034, 644,507.64 and 265,830 is: 366,845.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,034 : 644,507.64 = 265,830 : x
  2. Step 2: Convert to fraction form
    467,034/644,507.64 = 265,830/x
  3. Step 3: Cross multiply
    467,034x = 644,507.64 × 265,830
  4. Step 4: Simplify right side
    467,034x = 171,329,465,941.20
  5. Step 5: Solve for x
    x = 171,329,465,941.20/467,034
  6. Step 6: Final answer
    x = 366,845.81

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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.