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Finding the Fourth Proportional to 519,952.42, 717,534.71 and 302,203.77

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Solution

The fourth proportional to 519,952.42, 717,534.71 and 302,203.77 is: 417,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,952.42 : 717,534.71 = 302,203.77 : x
  2. Step 2: Convert to fraction form
    519,952.42/717,534.71 = 302,203.77/x
  3. Step 3: Cross multiply
    519,952.42x = 717,534.71 × 302,203.77
  4. Step 4: Simplify right side
    519,952.42x = 216,841,694,467.86
  5. Step 5: Solve for x
    x = 216,841,694,467.86/519,952.42
  6. Step 6: Final answer
    x = 417,041.42

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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.