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Finding the Fourth Proportional to 519,224.32, 716,595.26 and 301,386.42

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Solution

The fourth proportional to 519,224.32, 716,595.26 and 301,386.42 is: 415,951.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,224.32 : 716,595.26 = 301,386.42 : x
  2. Step 2: Convert to fraction form
    519,224.32/716,595.26 = 301,386.42/x
  3. Step 3: Cross multiply
    519,224.32x = 716,595.26 × 301,386.42
  4. Step 4: Simplify right side
    519,224.32x = 215,972,080,000.37
  5. Step 5: Solve for x
    x = 215,972,080,000.37/519,224.32
  6. Step 6: Final answer
    x = 415,951.39

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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.