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Finding the Fourth Proportional to 457,714.17, 631,710.95 and 253,810.44

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Solution

The fourth proportional to 457,714.17, 631,710.95 and 253,810.44 is: 350,294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,714.17 : 631,710.95 = 253,810.44 : x
  2. Step 2: Convert to fraction form
    457,714.17/631,710.95 = 253,810.44/x
  3. Step 3: Cross multiply
    457,714.17x = 631,710.95 × 253,810.44
  4. Step 4: Simplify right side
    457,714.17x = 160,334,832,903.27
  5. Step 5: Solve for x
    x = 160,334,832,903.27/457,714.17
  6. Step 6: Final answer
    x = 350,294.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.