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Finding the Fourth Proportional to 413,699.04, 620,031.24 and 176,764.32

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Solution

The fourth proportional to 413,699.04, 620,031.24 and 176,764.32 is: 264,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,699.04 : 620,031.24 = 176,764.32 : x
  2. Step 2: Convert to fraction form
    413,699.04/620,031.24 = 176,764.32/x
  3. Step 3: Cross multiply
    413,699.04x = 620,031.24 × 176,764.32
  4. Step 4: Simplify right side
    413,699.04x = 109,599,400,517.36
  5. Step 5: Solve for x
    x = 109,599,400,517.36/413,699.04
  6. Step 6: Final answer
    x = 264,925.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.