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Finding the Fourth Proportional to 508,653, 762,979.50 and 176,229

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Solution

The fourth proportional to 508,653, 762,979.50 and 176,229 is: 264,343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,653 : 762,979.50 = 176,229 : x
  2. Step 2: Convert to fraction form
    508,653/762,979.50 = 176,229/x
  3. Step 3: Cross multiply
    508,653x = 762,979.50 × 176,229
  4. Step 4: Simplify right side
    508,653x = 134,459,114,305.50
  5. Step 5: Solve for x
    x = 134,459,114,305.50/508,653
  6. Step 6: Final answer
    x = 264,343.50

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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.