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Finding the Fourth Proportional to 364,971.67, 546,694.10 and 293,507.35

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Solution

The fourth proportional to 364,971.67, 546,694.10 and 293,507.35 is: 439,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,971.67 : 546,694.10 = 293,507.35 : x
  2. Step 2: Convert to fraction form
    364,971.67/546,694.10 = 293,507.35/x
  3. Step 3: Cross multiply
    364,971.67x = 546,694.10 × 293,507.35
  4. Step 4: Simplify right side
    364,971.67x = 160,458,735,084.10
  5. Step 5: Solve for x
    x = 160,458,735,084.10/364,971.67
  6. Step 6: Final answer
    x = 439,647.10

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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.