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Finding the Fourth Proportional to 703,362.07, 970,530.01 and 416,835.91

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Solution

The fourth proportional to 703,362.07, 970,530.01 and 416,835.91 is: 575,168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,362.07 : 970,530.01 = 416,835.91 : x
  2. Step 2: Convert to fraction form
    703,362.07/970,530.01 = 416,835.91/x
  3. Step 3: Cross multiply
    703,362.07x = 970,530.01 × 416,835.91
  4. Step 4: Simplify right side
    703,362.07x = 404,551,759,900.66
  5. Step 5: Solve for x
    x = 404,551,759,900.66/703,362.07
  6. Step 6: Final answer
    x = 575,168.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.