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Finding the Fourth Proportional to 413,393.58, 619,572.78 and 176,458.86

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Solution

The fourth proportional to 413,393.58, 619,572.78 and 176,458.86 is: 264,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,393.58 : 619,572.78 = 176,458.86 : x
  2. Step 2: Convert to fraction form
    413,393.58/619,572.78 = 176,458.86/x
  3. Step 3: Cross multiply
    413,393.58x = 619,572.78 × 176,458.86
  4. Step 4: Simplify right side
    413,393.58x = 109,329,106,445.83
  5. Step 5: Solve for x
    x = 109,329,106,445.83/413,393.58
  6. Step 6: Final answer
    x = 264,467.35

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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.