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Finding the Fourth Proportional to 501,827.40, 752,522.40 and 202,208.40

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Solution

The fourth proportional to 501,827.40, 752,522.40 and 202,208.40 is: 303,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,827.40 : 752,522.40 = 202,208.40 : x
  2. Step 2: Convert to fraction form
    501,827.40/752,522.40 = 202,208.40/x
  3. Step 3: Cross multiply
    501,827.40x = 752,522.40 × 202,208.40
  4. Step 4: Simplify right side
    501,827.40x = 152,166,350,468.16
  5. Step 5: Solve for x
    x = 152,166,350,468.16/501,827.40
  6. Step 6: Final answer
    x = 303,224.48

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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.