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Finding the Fourth Proportional to 360,386.55, 497,317.82 and 197,040.06

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Solution

The fourth proportional to 360,386.55, 497,317.82 and 197,040.06 is: 271,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,386.55 : 497,317.82 = 197,040.06 : x
  2. Step 2: Convert to fraction form
    360,386.55/497,317.82 = 197,040.06/x
  3. Step 3: Cross multiply
    360,386.55x = 497,317.82 × 197,040.06
  4. Step 4: Simplify right side
    360,386.55x = 97,991,532,106.67
  5. Step 5: Solve for x
    x = 97,991,532,106.67/360,386.55
  6. Step 6: Final answer
    x = 271,906.74

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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.