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Finding the Fourth Proportional to 585,319.37, 877,978.85 and 164,595.24

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Solution

The fourth proportional to 585,319.37, 877,978.85 and 164,595.24 is: 246,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,319.37 : 877,978.85 = 164,595.24 : x
  2. Step 2: Convert to fraction form
    585,319.37/877,978.85 = 164,595.24/x
  3. Step 3: Cross multiply
    585,319.37x = 877,978.85 × 164,595.24
  4. Step 4: Simplify right side
    585,319.37x = 144,511,138,707.70
  5. Step 5: Solve for x
    x = 144,511,138,707.70/585,319.37
  6. Step 6: Final answer
    x = 246,892.80

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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.