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Finding the Fourth Proportional to 458,690.19, 633,672.32 and 301,895.87

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Solution

The fourth proportional to 458,690.19, 633,672.32 and 301,895.87 is: 417,063.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,690.19 : 633,672.32 = 301,895.87 : x
  2. Step 2: Convert to fraction form
    458,690.19/633,672.32 = 301,895.87/x
  3. Step 3: Cross multiply
    458,690.19x = 633,672.32 × 301,895.87
  4. Step 4: Simplify right side
    458,690.19x = 191,303,056,118.99
  5. Step 5: Solve for x
    x = 191,303,056,118.99/458,690.19
  6. Step 6: Final answer
    x = 417,063.76

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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.