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Finding the Fourth Proportional to 701,888.16, 968,580 and 400,023.84

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Solution

The fourth proportional to 701,888.16, 968,580 and 400,023.84 is: 552,018.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,888.16 : 968,580 = 400,023.84 : x
  2. Step 2: Convert to fraction form
    701,888.16/968,580 = 400,023.84/x
  3. Step 3: Cross multiply
    701,888.16x = 968,580 × 400,023.84
  4. Step 4: Simplify right side
    701,888.16x = 387,455,090,947.20
  5. Step 5: Solve for x
    x = 387,455,090,947.20/701,888.16
  6. Step 6: Final answer
    x = 552,018.27

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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.