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Finding the Fourth Proportional to 438,445.60, 657,668.40 and 106,021.60

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Solution

The fourth proportional to 438,445.60, 657,668.40 and 106,021.60 is: 159,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,445.60 : 657,668.40 = 106,021.60 : x
  2. Step 2: Convert to fraction form
    438,445.60/657,668.40 = 106,021.60/x
  3. Step 3: Cross multiply
    438,445.60x = 657,668.40 × 106,021.60
  4. Step 4: Simplify right side
    438,445.60x = 69,727,056,037.44
  5. Step 5: Solve for x
    x = 69,727,056,037.44/438,445.60
  6. Step 6: Final answer
    x = 159,032.40

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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.