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Finding the Fourth Proportional to 362,025.18, 499,570.74 and 200,870.01

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Solution

The fourth proportional to 362,025.18, 499,570.74 and 200,870.01 is: 277,187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,025.18 : 499,570.74 = 200,870.01 : x
  2. Step 2: Convert to fraction form
    362,025.18/499,570.74 = 200,870.01/x
  3. Step 3: Cross multiply
    362,025.18x = 499,570.74 × 200,870.01
  4. Step 4: Simplify right side
    362,025.18x = 100,348,779,539.51
  5. Step 5: Solve for x
    x = 100,348,779,539.51/362,025.18
  6. Step 6: Final answer
    x = 277,187.29

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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.