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Finding the Fourth Proportional to 314,237.64, 471,430.26 and 103,875.54

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Solution

The fourth proportional to 314,237.64, 471,430.26 and 103,875.54 is: 155,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,237.64 : 471,430.26 = 103,875.54 : x
  2. Step 2: Convert to fraction form
    314,237.64/471,430.26 = 103,875.54/x
  3. Step 3: Cross multiply
    314,237.64x = 471,430.26 × 103,875.54
  4. Step 4: Simplify right side
    314,237.64x = 48,970,072,829.84
  5. Step 5: Solve for x
    x = 48,970,072,829.84/314,237.64
  6. Step 6: Final answer
    x = 155,837.71

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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.