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Finding the Fourth Proportional to 401,820.40, 602,730.60 and 121,301.20

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Solution

The fourth proportional to 401,820.40, 602,730.60 and 121,301.20 is: 181,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,820.40 : 602,730.60 = 121,301.20 : x
  2. Step 2: Convert to fraction form
    401,820.40/602,730.60 = 121,301.20/x
  3. Step 3: Cross multiply
    401,820.40x = 602,730.60 × 121,301.20
  4. Step 4: Simplify right side
    401,820.40x = 73,111,945,056.72
  5. Step 5: Solve for x
    x = 73,111,945,056.72/401,820.40
  6. Step 6: Final answer
    x = 181,951.80

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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.