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Finding the Fourth Proportional to 506,109.94, 698,407.59 and 276,679.06

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Solution

The fourth proportional to 506,109.94, 698,407.59 and 276,679.06 is: 381,803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,109.94 : 698,407.59 = 276,679.06 : x
  2. Step 2: Convert to fraction form
    506,109.94/698,407.59 = 276,679.06/x
  3. Step 3: Cross multiply
    506,109.94x = 698,407.59 × 276,679.06
  4. Step 4: Simplify right side
    506,109.94x = 193,234,755,498.07
  5. Step 5: Solve for x
    x = 193,234,755,498.07/506,109.94
  6. Step 6: Final answer
    x = 381,803.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.