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Finding the Fourth Proportional to 348,045.80, 520,902.30 and 306,055.40

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Solution

The fourth proportional to 348,045.80, 520,902.30 and 306,055.40 is: 458,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,045.80 : 520,902.30 = 306,055.40 : x
  2. Step 2: Convert to fraction form
    348,045.80/520,902.30 = 306,055.40/x
  3. Step 3: Cross multiply
    348,045.80x = 520,902.30 × 306,055.40
  4. Step 4: Simplify right side
    348,045.80x = 159,424,961,787.42
  5. Step 5: Solve for x
    x = 159,424,961,787.42/348,045.80
  6. Step 6: Final answer
    x = 458,057.42

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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.