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Finding the Fourth Proportional to 414,411.84, 621,806.40 and 201,064.59

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Solution

The fourth proportional to 414,411.84, 621,806.40 and 201,064.59 is: 301,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,411.84 : 621,806.40 = 201,064.59 : x
  2. Step 2: Convert to fraction form
    414,411.84/621,806.40 = 201,064.59/x
  3. Step 3: Cross multiply
    414,411.84x = 621,806.40 × 201,064.59
  4. Step 4: Simplify right side
    414,411.84x = 125,023,248,875.38
  5. Step 5: Solve for x
    x = 125,023,248,875.38/414,411.84
  6. Step 6: Final answer
    x = 301,688.41

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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.