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Finding the Fourth Proportional to 310,918.50, 466,389.90 and 97,831.80

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Solution

The fourth proportional to 310,918.50, 466,389.90 and 97,831.80 is: 146,751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,918.50 : 466,389.90 = 97,831.80 : x
  2. Step 2: Convert to fraction form
    310,918.50/466,389.90 = 97,831.80/x
  3. Step 3: Cross multiply
    310,918.50x = 466,389.90 × 97,831.80
  4. Step 4: Simplify right side
    310,918.50x = 45,627,763,418.82
  5. Step 5: Solve for x
    x = 45,627,763,418.82/310,918.50
  6. Step 6: Final answer
    x = 146,751.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.