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Finding the Fourth Proportional to 513,655.63, 770,291.88 and 176,600.86

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Solution

The fourth proportional to 513,655.63, 770,291.88 and 176,600.86 is: 264,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,655.63 : 770,291.88 = 176,600.86 : x
  2. Step 2: Convert to fraction form
    513,655.63/770,291.88 = 176,600.86/x
  3. Step 3: Cross multiply
    513,655.63x = 770,291.88 × 176,600.86
  4. Step 4: Simplify right side
    513,655.63x = 136,034,208,459.02
  5. Step 5: Solve for x
    x = 136,034,208,459.02/513,655.63
  6. Step 6: Final answer
    x = 264,835.43

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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.