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Finding the Fourth Proportional to 508,103.93, 761,491.46 and 208,233.43

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Solution

The fourth proportional to 508,103.93, 761,491.46 and 208,233.43 is: 312,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,103.93 : 761,491.46 = 208,233.43 : x
  2. Step 2: Convert to fraction form
    508,103.93/761,491.46 = 208,233.43/x
  3. Step 3: Cross multiply
    508,103.93x = 761,491.46 × 208,233.43
  4. Step 4: Simplify right side
    508,103.93x = 158,567,977,248.36
  5. Step 5: Solve for x
    x = 158,567,977,248.36/508,103.93
  6. Step 6: Final answer
    x = 312,077.84

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1.5x scale

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.