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Finding the Fourth Proportional to 972,322.68, 1,458,639.54 and 411,362.04

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Solution

The fourth proportional to 972,322.68, 1,458,639.54 and 411,362.04 is: 617,108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,322.68 : 1,458,639.54 = 411,362.04 : x
  2. Step 2: Convert to fraction form
    972,322.68/1,458,639.54 = 411,362.04/x
  3. Step 3: Cross multiply
    972,322.68x = 1,458,639.54 × 411,362.04
  4. Step 4: Simplify right side
    972,322.68x = 600,028,936,799.06
  5. Step 5: Solve for x
    x = 600,028,936,799.06/972,322.68
  6. Step 6: Final answer
    x = 617,108.86

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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.