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Finding the Fourth Proportional to 405,089.34, 607,765.23 and 194,743.68

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Solution

The fourth proportional to 405,089.34, 607,765.23 and 194,743.68 is: 292,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,089.34 : 607,765.23 = 194,743.68 : x
  2. Step 2: Convert to fraction form
    405,089.34/607,765.23 = 194,743.68/x
  3. Step 3: Cross multiply
    405,089.34x = 607,765.23 × 194,743.68
  4. Step 4: Simplify right side
    405,089.34x = 118,358,437,466.25
  5. Step 5: Solve for x
    x = 118,358,437,466.25/405,089.34
  6. Step 6: Final answer
    x = 292,178.60

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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.