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Finding the Fourth Proportional to 314,637.20, 471,955.80 and 93,021.20

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Solution

The fourth proportional to 314,637.20, 471,955.80 and 93,021.20 is: 139,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,637.20 : 471,955.80 = 93,021.20 : x
  2. Step 2: Convert to fraction form
    314,637.20/471,955.80 = 93,021.20/x
  3. Step 3: Cross multiply
    314,637.20x = 471,955.80 × 93,021.20
  4. Step 4: Simplify right side
    314,637.20x = 43,901,894,862.96
  5. Step 5: Solve for x
    x = 43,901,894,862.96/314,637.20
  6. Step 6: Final answer
    x = 139,531.80

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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.