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Finding the Fourth Proportional to 317,421.01, 438,040.74 and 174,190.06

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Solution

The fourth proportional to 317,421.01, 438,040.74 and 174,190.06 is: 240,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,421.01 : 438,040.74 = 174,190.06 : x
  2. Step 2: Convert to fraction form
    317,421.01/438,040.74 = 174,190.06/x
  3. Step 3: Cross multiply
    317,421.01x = 438,040.74 × 174,190.06
  4. Step 4: Simplify right side
    317,421.01x = 76,302,342,783.04
  5. Step 5: Solve for x
    x = 76,302,342,783.04/317,421.01
  6. Step 6: Final answer
    x = 240,382.14

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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.