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Finding the Fourth Proportional to 525,658.60, 788,682.30 and 210,341.80

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Solution

The fourth proportional to 525,658.60, 788,682.30 and 210,341.80 is: 315,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,658.60 : 788,682.30 = 210,341.80 : x
  2. Step 2: Convert to fraction form
    525,658.60/788,682.30 = 210,341.80/x
  3. Step 3: Cross multiply
    525,658.60x = 788,682.30 × 210,341.80
  4. Step 4: Simplify right side
    525,658.60x = 165,892,854,610.14
  5. Step 5: Solve for x
    x = 165,892,854,610.14/525,658.60
  6. Step 6: Final answer
    x = 315,590.49

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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.