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Finding the Fourth Proportional to 242,026.40, 362,348.40 and 235,114.40

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Solution

The fourth proportional to 242,026.40, 362,348.40 and 235,114.40 is: 352,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,026.40 : 362,348.40 = 235,114.40 : x
  2. Step 2: Convert to fraction form
    242,026.40/362,348.40 = 235,114.40/x
  3. Step 3: Cross multiply
    242,026.40x = 362,348.40 × 235,114.40
  4. Step 4: Simplify right side
    242,026.40x = 85,193,326,656.96
  5. Step 5: Solve for x
    x = 85,193,326,656.96/242,026.40
  6. Step 6: Final answer
    x = 352,000.14

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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.