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Finding the Fourth Proportional to 508,356, 762,534 and 175,932

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Solution

The fourth proportional to 508,356, 762,534 and 175,932 is: 263,898

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,356 : 762,534 = 175,932 : x
  2. Step 2: Convert to fraction form
    508,356/762,534 = 175,932/x
  3. Step 3: Cross multiply
    508,356x = 762,534 × 175,932
  4. Step 4: Simplify right side
    508,356x = 134,154,131,688
  5. Step 5: Solve for x
    x = 134,154,131,688/508,356
  6. Step 6: Final answer
    x = 263,898

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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.