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Finding the Fourth Proportional to 364,812.60, 546,344.10 and 294,828.60

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Solution

The fourth proportional to 364,812.60, 546,344.10 and 294,828.60 is: 441,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,812.60 : 546,344.10 = 294,828.60 : x
  2. Step 2: Convert to fraction form
    364,812.60/546,344.10 = 294,828.60/x
  3. Step 3: Cross multiply
    364,812.60x = 546,344.10 × 294,828.60
  4. Step 4: Simplify right side
    364,812.60x = 161,077,866,121.26
  5. Step 5: Solve for x
    x = 161,077,866,121.26/364,812.60
  6. Step 6: Final answer
    x = 441,535.92

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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.