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Finding the Fourth Proportional to 407,878.79, 611,830.25 and 194,669.17

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Solution

The fourth proportional to 407,878.79, 611,830.25 and 194,669.17 is: 292,009.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,878.79 : 611,830.25 = 194,669.17 : x
  2. Step 2: Convert to fraction form
    407,878.79/611,830.25 = 194,669.17/x
  3. Step 3: Cross multiply
    407,878.79x = 611,830.25 × 194,669.17
  4. Step 4: Simplify right side
    407,878.79x = 119,104,483,889.24
  5. Step 5: Solve for x
    x = 119,104,483,889.24/407,878.79
  6. Step 6: Final answer
    x = 292,009.51

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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.