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Finding the Fourth Proportional to 347,642.40, 522,097.20 and 304,096.80

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Solution

The fourth proportional to 347,642.40, 522,097.20 and 304,096.80 is: 456,699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,642.40 : 522,097.20 = 304,096.80 : x
  2. Step 2: Convert to fraction form
    347,642.40/522,097.20 = 304,096.80/x
  3. Step 3: Cross multiply
    347,642.40x = 522,097.20 × 304,096.80
  4. Step 4: Simplify right side
    347,642.40x = 158,768,087,808.96
  5. Step 5: Solve for x
    x = 158,768,087,808.96/347,642.40
  6. Step 6: Final answer
    x = 456,699.44

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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.