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Finding the Fourth Proportional to 357,853.30, 493,672.96 and 317,059.03

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Solution

The fourth proportional to 357,853.30, 493,672.96 and 317,059.03 is: 437,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,853.30 : 493,672.96 = 317,059.03 : x
  2. Step 2: Convert to fraction form
    357,853.30/493,672.96 = 317,059.03/x
  3. Step 3: Cross multiply
    357,853.30x = 493,672.96 × 317,059.03
  4. Step 4: Simplify right side
    357,853.30x = 156,523,470,848.24
  5. Step 5: Solve for x
    x = 156,523,470,848.24/357,853.30
  6. Step 6: Final answer
    x = 437,395.64

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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.