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Finding the Fourth Proportional to 357,800.52, 493,725.06 and 214,566.60

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Solution

The fourth proportional to 357,800.52, 493,725.06 and 214,566.60 is: 296,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,800.52 : 493,725.06 = 214,566.60 : x
  2. Step 2: Convert to fraction form
    357,800.52/493,725.06 = 214,566.60/x
  3. Step 3: Cross multiply
    357,800.52x = 493,725.06 × 214,566.60
  4. Step 4: Simplify right side
    357,800.52x = 105,936,907,459.00
  5. Step 5: Solve for x
    x = 105,936,907,459.00/357,800.52
  6. Step 6: Final answer
    x = 296,078.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.