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Finding the Fourth Proportional to 464,004.30, 696,005.90 and 127,047.54

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Solution

The fourth proportional to 464,004.30, 696,005.90 and 127,047.54 is: 190,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,004.30 : 696,005.90 = 127,047.54 : x
  2. Step 2: Convert to fraction form
    464,004.30/696,005.90 = 127,047.54/x
  3. Step 3: Cross multiply
    464,004.30x = 696,005.90 × 127,047.54
  4. Step 4: Simplify right side
    464,004.30x = 88,425,837,420.49
  5. Step 5: Solve for x
    x = 88,425,837,420.49/464,004.30
  6. Step 6: Final answer
    x = 190,571.16

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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.