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Finding the Fourth Proportional to 407,130.75, 610,073.34 and 217,618.08

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Solution

The fourth proportional to 407,130.75, 610,073.34 and 217,618.08 is: 326,094.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,130.75 : 610,073.34 = 217,618.08 : x
  2. Step 2: Convert to fraction form
    407,130.75/610,073.34 = 217,618.08/x
  3. Step 3: Cross multiply
    407,130.75x = 610,073.34 × 217,618.08
  4. Step 4: Simplify right side
    407,130.75x = 132,762,988,909.99
  5. Step 5: Solve for x
    x = 132,762,988,909.99/407,130.75
  6. Step 6: Final answer
    x = 326,094.23

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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.