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Finding the Fourth Proportional to 314,740.93, 472,250.93 and 164,945.60

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Solution

The fourth proportional to 314,740.93, 472,250.93 and 164,945.60 is: 247,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,740.93 : 472,250.93 = 164,945.60 : x
  2. Step 2: Convert to fraction form
    314,740.93/472,250.93 = 164,945.60/x
  3. Step 3: Cross multiply
    314,740.93x = 472,250.93 × 164,945.60
  4. Step 4: Simplify right side
    314,740.93x = 77,895,712,999.41
  5. Step 5: Solve for x
    x = 77,895,712,999.41/314,740.93
  6. Step 6: Final answer
    x = 247,491.53

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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.