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Finding the Fourth Proportional to 589,823.49, 813,699.76 and 374,848.41

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Solution

The fourth proportional to 589,823.49, 813,699.76 and 374,848.41 is: 517,127.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,823.49 : 813,699.76 = 374,848.41 : x
  2. Step 2: Convert to fraction form
    589,823.49/813,699.76 = 374,848.41/x
  3. Step 3: Cross multiply
    589,823.49x = 813,699.76 × 374,848.41
  4. Step 4: Simplify right side
    589,823.49x = 305,014,061,253.38
  5. Step 5: Solve for x
    x = 305,014,061,253.38/589,823.49
  6. Step 6: Final answer
    x = 517,127.69

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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.