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Finding the Fourth Proportional to 364,810.64, 546,094.31 and 311,002.07

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Solution

The fourth proportional to 364,810.64, 546,094.31 and 311,002.07 is: 465,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,810.64 : 546,094.31 = 311,002.07 : x
  2. Step 2: Convert to fraction form
    364,810.64/546,094.31 = 311,002.07/x
  3. Step 3: Cross multiply
    364,810.64x = 546,094.31 × 311,002.07
  4. Step 4: Simplify right side
    364,810.64x = 169,836,456,539.74
  5. Step 5: Solve for x
    x = 169,836,456,539.74/364,810.64
  6. Step 6: Final answer
    x = 465,546.89

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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.