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Finding the Fourth Proportional to 602,419.80, 903,759.30 and 181,738.20

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Solution

The fourth proportional to 602,419.80, 903,759.30 and 181,738.20 is: 272,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,419.80 : 903,759.30 = 181,738.20 : x
  2. Step 2: Convert to fraction form
    602,419.80/903,759.30 = 181,738.20/x
  3. Step 3: Cross multiply
    602,419.80x = 903,759.30 × 181,738.20
  4. Step 4: Simplify right side
    602,419.80x = 164,247,588,415.26
  5. Step 5: Solve for x
    x = 164,247,588,415.26/602,419.80
  6. Step 6: Final answer
    x = 272,646.40

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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.