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Finding the Fourth Proportional to 405,280.62, 607,512.69 and 194,803.74

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Solution

The fourth proportional to 405,280.62, 607,512.69 and 194,803.74 is: 292,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,280.62 : 607,512.69 = 194,803.74 : x
  2. Step 2: Convert to fraction form
    405,280.62/607,512.69 = 194,803.74/x
  3. Step 3: Cross multiply
    405,280.62x = 607,512.69 × 194,803.74
  4. Step 4: Simplify right side
    405,280.62x = 118,345,744,109.46
  5. Step 5: Solve for x
    x = 118,345,744,109.46/405,280.62
  6. Step 6: Final answer
    x = 292,009.38

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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.