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Finding the Fourth Proportional to 475,118.01, 713,388.65 and 411,274.35

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Solution

The fourth proportional to 475,118.01, 713,388.65 and 411,274.35 is: 617,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,118.01 : 713,388.65 = 411,274.35 : x
  2. Step 2: Convert to fraction form
    475,118.01/713,388.65 = 411,274.35/x
  3. Step 3: Cross multiply
    475,118.01x = 713,388.65 × 411,274.35
  4. Step 4: Simplify right side
    475,118.01x = 293,398,451,269.76
  5. Step 5: Solve for x
    x = 293,398,451,269.76/475,118.01
  6. Step 6: Final answer
    x = 617,527.53

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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.