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Finding the Fourth Proportional to 413,178.64, 620,030.12 and 176,523.10

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Solution

The fourth proportional to 413,178.64, 620,030.12 and 176,523.10 is: 264,896.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,178.64 : 620,030.12 = 176,523.10 : x
  2. Step 2: Convert to fraction form
    413,178.64/620,030.12 = 176,523.10/x
  3. Step 3: Cross multiply
    413,178.64x = 620,030.12 × 176,523.10
  4. Step 4: Simplify right side
    413,178.64x = 109,449,638,875.77
  5. Step 5: Solve for x
    x = 109,449,638,875.77/413,178.64
  6. Step 6: Final answer
    x = 264,896.65

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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.