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Finding the Fourth Proportional to 314,076.48, 471,048.84 and 103,666.56

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Solution

The fourth proportional to 314,076.48, 471,048.84 and 103,666.56 is: 155,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,076.48 : 471,048.84 = 103,666.56 : x
  2. Step 2: Convert to fraction form
    314,076.48/471,048.84 = 103,666.56/x
  3. Step 3: Cross multiply
    314,076.48x = 471,048.84 × 103,666.56
  4. Step 4: Simplify right side
    314,076.48x = 48,832,012,834.79
  5. Step 5: Solve for x
    x = 48,832,012,834.79/314,076.48
  6. Step 6: Final answer
    x = 155,478.10

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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.