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Finding the Fourth Proportional to 405,456.50, 607,594.24 and 194,848.40

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Solution

The fourth proportional to 405,456.50, 607,594.24 and 194,848.40 is: 291,988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,456.50 : 607,594.24 = 194,848.40 : x
  2. Step 2: Convert to fraction form
    405,456.50/607,594.24 = 194,848.40/x
  3. Step 3: Cross multiply
    405,456.50x = 607,594.24 × 194,848.40
  4. Step 4: Simplify right side
    405,456.50x = 118,388,765,513.22
  5. Step 5: Solve for x
    x = 118,388,765,513.22/405,456.50
  6. Step 6: Final answer
    x = 291,988.82

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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.