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Finding the Fourth Proportional to 594,456, 891,735.84 and 151,224

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Solution

The fourth proportional to 594,456, 891,735.84 and 151,224 is: 226,849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,456 : 891,735.84 = 151,224 : x
  2. Step 2: Convert to fraction form
    594,456/891,735.84 = 151,224/x
  3. Step 3: Cross multiply
    594,456x = 891,735.84 × 151,224
  4. Step 4: Simplify right side
    594,456x = 134,851,860,668.16
  5. Step 5: Solve for x
    x = 134,851,860,668.16/594,456
  6. Step 6: Final answer
    x = 226,849.19

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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.