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Finding the Fourth Proportional to 702,074.47, 968,867.49 and 430,142.89

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Solution

The fourth proportional to 702,074.47, 968,867.49 and 430,142.89 is: 593,600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,074.47 : 968,867.49 = 430,142.89 : x
  2. Step 2: Convert to fraction form
    702,074.47/968,867.49 = 430,142.89/x
  3. Step 3: Cross multiply
    702,074.47x = 968,867.49 × 430,142.89
  4. Step 4: Simplify right side
    702,074.47x = 416,751,462,175.65
  5. Step 5: Solve for x
    x = 416,751,462,175.65/702,074.47
  6. Step 6: Final answer
    x = 593,600.08

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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.