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Finding the Fourth Proportional to 513,752.86, 770,438.13 and 176,698.90

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Solution

The fourth proportional to 513,752.86, 770,438.13 and 176,698.90 is: 264,982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,752.86 : 770,438.13 = 176,698.90 : x
  2. Step 2: Convert to fraction form
    513,752.86/770,438.13 = 176,698.90/x
  3. Step 3: Cross multiply
    513,752.86x = 770,438.13 × 176,698.90
  4. Step 4: Simplify right side
    513,752.86x = 136,135,570,089.06
  5. Step 5: Solve for x
    x = 136,135,570,089.06/513,752.86
  6. Step 6: Final answer
    x = 264,982.60

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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.