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Finding the Fourth Proportional to 497,299.73, 745,954.83 and 398,090.60

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Solution

The fourth proportional to 497,299.73, 745,954.83 and 398,090.60 is: 597,140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,299.73 : 745,954.83 = 398,090.60 : x
  2. Step 2: Convert to fraction form
    497,299.73/745,954.83 = 398,090.60/x
  3. Step 3: Cross multiply
    497,299.73x = 745,954.83 × 398,090.60
  4. Step 4: Simplify right side
    497,299.73x = 296,957,602,117.82
  5. Step 5: Solve for x
    x = 296,957,602,117.82/497,299.73
  6. Step 6: Final answer
    x = 597,140.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.