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Finding the Fourth Proportional to 497,938.42, 687,151.74 and 283,078.54

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Solution

The fourth proportional to 497,938.42, 687,151.74 and 283,078.54 is: 390,646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,938.42 : 687,151.74 = 283,078.54 : x
  2. Step 2: Convert to fraction form
    497,938.42/687,151.74 = 283,078.54/x
  3. Step 3: Cross multiply
    497,938.42x = 687,151.74 × 283,078.54
  4. Step 4: Simplify right side
    497,938.42x = 194,517,911,317.66
  5. Step 5: Solve for x
    x = 194,517,911,317.66/497,938.42
  6. Step 6: Final answer
    x = 390,646.52

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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.