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Finding the Fourth Proportional to 400,533.84, 601,007.85 and 176,051.88

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Solution

The fourth proportional to 400,533.84, 601,007.85 and 176,051.88 is: 264,168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,533.84 : 601,007.85 = 176,051.88 : x
  2. Step 2: Convert to fraction form
    400,533.84/601,007.85 = 176,051.88/x
  3. Step 3: Cross multiply
    400,533.84x = 601,007.85 × 176,051.88
  4. Step 4: Simplify right side
    400,533.84x = 105,808,561,887.26
  5. Step 5: Solve for x
    x = 105,808,561,887.26/400,533.84
  6. Step 6: Final answer
    x = 264,168.84

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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.