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Finding the Fourth Proportional to 242,602.80, 363,904.20 and 232,364.40

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Solution

The fourth proportional to 242,602.80, 363,904.20 and 232,364.40 is: 348,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,602.80 : 363,904.20 = 232,364.40 : x
  2. Step 2: Convert to fraction form
    242,602.80/363,904.20 = 232,364.40/x
  3. Step 3: Cross multiply
    242,602.80x = 363,904.20 × 232,364.40
  4. Step 4: Simplify right side
    242,602.80x = 84,558,381,090.48
  5. Step 5: Solve for x
    x = 84,558,381,090.48/242,602.80
  6. Step 6: Final answer
    x = 348,546.60

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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.