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Finding the Fourth Proportional to 380,285.79, 569,608.66 and 357,927.96

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Solution

The fourth proportional to 380,285.79, 569,608.66 and 357,927.96 is: 536,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,285.79 : 569,608.66 = 357,927.96 : x
  2. Step 2: Convert to fraction form
    380,285.79/569,608.66 = 357,927.96/x
  3. Step 3: Cross multiply
    380,285.79x = 569,608.66 × 357,927.96
  4. Step 4: Simplify right side
    380,285.79x = 203,878,866,242.23
  5. Step 5: Solve for x
    x = 203,878,866,242.23/380,285.79
  6. Step 6: Final answer
    x = 536,120.13

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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.