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Finding the Fourth Proportional to 317,457.01, 476,156.35 and 107,096.77

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Solution

The fourth proportional to 317,457.01, 476,156.35 and 107,096.77 is: 160,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,457.01 : 476,156.35 = 107,096.77 : x
  2. Step 2: Convert to fraction form
    317,457.01/476,156.35 = 107,096.77/x
  3. Step 3: Cross multiply
    317,457.01x = 476,156.35 × 107,096.77
  4. Step 4: Simplify right side
    317,457.01x = 50,994,807,099.99
  5. Step 5: Solve for x
    x = 50,994,807,099.99/317,457.01
  6. Step 6: Final answer
    x = 160,635.32

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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.