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Finding the Fourth Proportional to 458,811.16, 633,228.42 and 330,175.51

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Solution

The fourth proportional to 458,811.16, 633,228.42 and 330,175.51 is: 455,691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,811.16 : 633,228.42 = 330,175.51 : x
  2. Step 2: Convert to fraction form
    458,811.16/633,228.42 = 330,175.51/x
  3. Step 3: Cross multiply
    458,811.16x = 633,228.42 × 330,175.51
  4. Step 4: Simplify right side
    458,811.16x = 209,076,516,519.99
  5. Step 5: Solve for x
    x = 209,076,516,519.99/458,811.16
  6. Step 6: Final answer
    x = 455,691.87

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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.