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Finding the Fourth Proportional to 377,830.45, 521,398.53 and 205,750.47

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Solution

The fourth proportional to 377,830.45, 521,398.53 and 205,750.47 is: 283,931.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,830.45 : 521,398.53 = 205,750.47 : x
  2. Step 2: Convert to fraction form
    377,830.45/521,398.53 = 205,750.47/x
  3. Step 3: Cross multiply
    377,830.45x = 521,398.53 × 205,750.47
  4. Step 4: Simplify right side
    377,830.45x = 107,277,992,604.81
  5. Step 5: Solve for x
    x = 107,277,992,604.81/377,830.45
  6. Step 6: Final answer
    x = 283,931.57

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