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Finding the Fourth Proportional to 362,813.48, 544,220.32 and 106,646.10

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Solution

The fourth proportional to 362,813.48, 544,220.32 and 106,646.10 is: 159,969.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,813.48 : 544,220.32 = 106,646.10 : x
  2. Step 2: Convert to fraction form
    362,813.48/544,220.32 = 106,646.10/x
  3. Step 3: Cross multiply
    362,813.48x = 544,220.32 × 106,646.10
  4. Step 4: Simplify right side
    362,813.48x = 58,038,974,668.75
  5. Step 5: Solve for x
    x = 58,038,974,668.75/362,813.48
  6. Step 6: Final answer
    x = 159,969.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.