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Finding the Fourth Proportional to 551,955.42, 828,254.39 and 232,084.14

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Solution

The fourth proportional to 551,955.42, 828,254.39 and 232,084.14 is: 348,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,955.42 : 828,254.39 = 232,084.14 : x
  2. Step 2: Convert to fraction form
    551,955.42/828,254.39 = 232,084.14/x
  3. Step 3: Cross multiply
    551,955.42x = 828,254.39 × 232,084.14
  4. Step 4: Simplify right side
    551,955.42x = 192,224,706,643.95
  5. Step 5: Solve for x
    x = 192,224,706,643.95/551,955.42
  6. Step 6: Final answer
    x = 348,261.29

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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.