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Finding the Fourth Proportional to 407,358.84, 610,892.40 and 141,047.82

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Solution

The fourth proportional to 407,358.84, 610,892.40 and 141,047.82 is: 211,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,358.84 : 610,892.40 = 141,047.82 : x
  2. Step 2: Convert to fraction form
    407,358.84/610,892.40 = 141,047.82/x
  3. Step 3: Cross multiply
    407,358.84x = 610,892.40 × 141,047.82
  4. Step 4: Simplify right side
    407,358.84x = 86,165,041,274.57
  5. Step 5: Solve for x
    x = 86,165,041,274.57/407,358.84
  6. Step 6: Final answer
    x = 211,521.23

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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.