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Finding the Fourth Proportional to 422,738.19, 583,360.38 and 253,065.87

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Solution

The fourth proportional to 422,738.19, 583,360.38 and 253,065.87 is: 349,219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,738.19 : 583,360.38 = 253,065.87 : x
  2. Step 2: Convert to fraction form
    422,738.19/583,360.38 = 253,065.87/x
  3. Step 3: Cross multiply
    422,738.19x = 583,360.38 × 253,065.87
  4. Step 4: Simplify right side
    422,738.19x = 147,628,602,088.23
  5. Step 5: Solve for x
    x = 147,628,602,088.23/422,738.19
  6. Step 6: Final answer
    x = 349,219.93

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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.