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Finding the Fourth Proportional to 517,838.96, 713,392.54 and 493,922.88

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Solution

The fourth proportional to 517,838.96, 713,392.54 and 493,922.88 is: 680,444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,838.96 : 713,392.54 = 493,922.88 : x
  2. Step 2: Convert to fraction form
    517,838.96/713,392.54 = 493,922.88/x
  3. Step 3: Cross multiply
    517,838.96x = 713,392.54 × 493,922.88
  4. Step 4: Simplify right side
    517,838.96x = 352,360,897,927.32
  5. Step 5: Solve for x
    x = 352,360,897,927.32/517,838.96
  6. Step 6: Final answer
    x = 680,444.94

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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.