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Finding the Fourth Proportional to 519,444, 716,843.93 and 286,870.20

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Solution

The fourth proportional to 519,444, 716,843.93 and 286,870.20 is: 395,887.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,444 : 716,843.93 = 286,870.20 : x
  2. Step 2: Convert to fraction form
    519,444/716,843.93 = 286,870.20/x
  3. Step 3: Cross multiply
    519,444x = 716,843.93 × 286,870.20
  4. Step 4: Simplify right side
    519,444x = 205,641,160,133.54
  5. Step 5: Solve for x
    x = 205,641,160,133.54/519,444
  6. Step 6: Final answer
    x = 395,887.06

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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.