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Finding the Fourth Proportional to 371,430.90, 512,580.24 and 201,664.98

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Solution

The fourth proportional to 371,430.90, 512,580.24 and 201,664.98 is: 278,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,430.90 : 512,580.24 = 201,664.98 : x
  2. Step 2: Convert to fraction form
    371,430.90/512,580.24 = 201,664.98/x
  3. Step 3: Cross multiply
    371,430.90x = 512,580.24 × 201,664.98
  4. Step 4: Simplify right side
    371,430.90x = 103,369,483,848.00
  5. Step 5: Solve for x
    x = 103,369,483,848.00/371,430.90
  6. Step 6: Final answer
    x = 278,300.71

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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.