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Finding the Fourth Proportional to 291,334.84, 402,041.64 and 164,051.44

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Solution

The fourth proportional to 291,334.84, 402,041.64 and 164,051.44 is: 226,390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,334.84 : 402,041.64 = 164,051.44 : x
  2. Step 2: Convert to fraction form
    291,334.84/402,041.64 = 164,051.44/x
  3. Step 3: Cross multiply
    291,334.84x = 402,041.64 × 164,051.44
  4. Step 4: Simplify right side
    291,334.84x = 65,955,509,981.96
  5. Step 5: Solve for x
    x = 65,955,509,981.96/291,334.84
  6. Step 6: Final answer
    x = 226,390.74

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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.