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Finding the Fourth Proportional to 702,065.39, 968,969.06 and 407,669.22

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Solution

The fourth proportional to 702,065.39, 968,969.06 and 407,669.22 is: 562,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,065.39 : 968,969.06 = 407,669.22 : x
  2. Step 2: Convert to fraction form
    702,065.39/968,969.06 = 407,669.22/x
  3. Step 3: Cross multiply
    702,065.39x = 968,969.06 × 407,669.22
  4. Step 4: Simplify right side
    702,065.39x = 395,018,858,855.99
  5. Step 5: Solve for x
    x = 395,018,858,855.99/702,065.39
  6. Step 6: Final answer
    x = 562,652.52

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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.