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Finding the Fourth Proportional to 513,654.63, 770,290.38 and 176,599.86

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Solution

The fourth proportional to 513,654.63, 770,290.38 and 176,599.86 is: 264,833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,654.63 : 770,290.38 = 176,599.86 : x
  2. Step 2: Convert to fraction form
    513,654.63/770,290.38 = 176,599.86/x
  3. Step 3: Cross multiply
    513,654.63x = 770,290.38 × 176,599.86
  4. Step 4: Simplify right side
    513,654.63x = 136,033,173,267.35
  5. Step 5: Solve for x
    x = 136,033,173,267.35/513,654.63
  6. Step 6: Final answer
    x = 264,833.93

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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.