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Finding the Fourth Proportional to 538,169, 742,673.40 and 311,945.72

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Solution

The fourth proportional to 538,169, 742,673.40 and 311,945.72 is: 430,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,169 : 742,673.40 = 311,945.72 : x
  2. Step 2: Convert to fraction form
    538,169/742,673.40 = 311,945.72/x
  3. Step 3: Cross multiply
    538,169x = 742,673.40 × 311,945.72
  4. Step 4: Simplify right side
    538,169x = 231,673,788,487.85
  5. Step 5: Solve for x
    x = 231,673,788,487.85/538,169
  6. Step 6: Final answer
    x = 430,485.20

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1.5x scale

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.