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Finding the Fourth Proportional to 427,936.50, 590,707.89 and 249,088.50

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Solution

The fourth proportional to 427,936.50, 590,707.89 and 249,088.50 is: 343,832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,936.50 : 590,707.89 = 249,088.50 : x
  2. Step 2: Convert to fraction form
    427,936.50/590,707.89 = 249,088.50/x
  3. Step 3: Cross multiply
    427,936.50x = 590,707.89 × 249,088.50
  4. Step 4: Simplify right side
    427,936.50x = 147,138,542,258.27
  5. Step 5: Solve for x
    x = 147,138,542,258.27/427,936.50
  6. Step 6: Final answer
    x = 343,832.65

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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.