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Finding the Fourth Proportional to 506,995.81, 760,636.78 and 253,970.84

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Solution

The fourth proportional to 506,995.81, 760,636.78 and 253,970.84 is: 381,027.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,995.81 : 760,636.78 = 253,970.84 : x
  2. Step 2: Convert to fraction form
    506,995.81/760,636.78 = 253,970.84/x
  3. Step 3: Cross multiply
    506,995.81x = 760,636.78 × 253,970.84
  4. Step 4: Simplify right side
    506,995.81x = 193,179,563,218.16
  5. Step 5: Solve for x
    x = 193,179,563,218.16/506,995.81
  6. Step 6: Final answer
    x = 381,027.93

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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.