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Finding the Fourth Proportional to 294,175.86, 440,956.59 and 144,208.50

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Solution

The fourth proportional to 294,175.86, 440,956.59 and 144,208.50 is: 216,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,175.86 : 440,956.59 = 144,208.50 : x
  2. Step 2: Convert to fraction form
    294,175.86/440,956.59 = 144,208.50/x
  3. Step 3: Cross multiply
    294,175.86x = 440,956.59 × 144,208.50
  4. Step 4: Simplify right side
    294,175.86x = 63,589,688,409.02
  5. Step 5: Solve for x
    x = 63,589,688,409.02/294,175.86
  6. Step 6: Final answer
    x = 216,162.16

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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.