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Finding the Fourth Proportional to 803,093.76, 1,203,857.28 and 382,256.64

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Solution

The fourth proportional to 803,093.76, 1,203,857.28 and 382,256.64 is: 573,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,093.76 : 1,203,857.28 = 382,256.64 : x
  2. Step 2: Convert to fraction form
    803,093.76/1,203,857.28 = 382,256.64/x
  3. Step 3: Cross multiply
    803,093.76x = 1,203,857.28 × 382,256.64
  4. Step 4: Simplify right side
    803,093.76x = 460,182,438,892.34
  5. Step 5: Solve for x
    x = 460,182,438,892.34/803,093.76
  6. Step 6: Final answer
    x = 573,012.10

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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.