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Finding the Fourth Proportional to 291,331.84, 402,037.50 and 164,048.44

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Solution

The fourth proportional to 291,331.84, 402,037.50 and 164,048.44 is: 226,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,331.84 : 402,037.50 = 164,048.44 : x
  2. Step 2: Convert to fraction form
    291,331.84/402,037.50 = 164,048.44/x
  3. Step 3: Cross multiply
    291,331.84x = 402,037.50 × 164,048.44
  4. Step 4: Simplify right side
    291,331.84x = 65,953,624,696.50
  5. Step 5: Solve for x
    x = 65,953,624,696.50/291,331.84
  6. Step 6: Final answer
    x = 226,386.60

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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.