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Finding the Fourth Proportional to 428,999.10, 592,007.47 and 235,406.21

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Solution

The fourth proportional to 428,999.10, 592,007.47 and 235,406.21 is: 324,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,999.10 : 592,007.47 = 235,406.21 : x
  2. Step 2: Convert to fraction form
    428,999.10/592,007.47 = 235,406.21/x
  3. Step 3: Cross multiply
    428,999.10x = 592,007.47 × 235,406.21
  4. Step 4: Simplify right side
    428,999.10x = 139,362,233,627.36
  5. Step 5: Solve for x
    x = 139,362,233,627.36/428,999.10
  6. Step 6: Final answer
    x = 324,854.38

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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.