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Finding the Fourth Proportional to 357,854.30, 493,674.34 and 317,060.03

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Solution

The fourth proportional to 357,854.30, 493,674.34 and 317,060.03 is: 437,397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,854.30 : 493,674.34 = 317,060.03 : x
  2. Step 2: Convert to fraction form
    357,854.30/493,674.34 = 317,060.03/x
  3. Step 3: Cross multiply
    357,854.30x = 493,674.34 × 317,060.03
  4. Step 4: Simplify right side
    357,854.30x = 156,524,401,050.63
  5. Step 5: Solve for x
    x = 156,524,401,050.63/357,854.30
  6. Step 6: Final answer
    x = 437,397.01

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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.