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Finding the Fourth Proportional to 519,291, 716,535.01 and 346,932.62

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Solution

The fourth proportional to 519,291, 716,535.01 and 346,932.62 is: 478,709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,291 : 716,535.01 = 346,932.62 : x
  2. Step 2: Convert to fraction form
    519,291/716,535.01 = 346,932.62/x
  3. Step 3: Cross multiply
    519,291x = 716,535.01 × 346,932.62
  4. Step 4: Simplify right side
    519,291x = 248,589,367,879.02
  5. Step 5: Solve for x
    x = 248,589,367,879.02/519,291
  6. Step 6: Final answer
    x = 478,709.18

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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.