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Finding the Fourth Proportional to 404,864.90, 606,908.55 and 314,857.70

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Solution

The fourth proportional to 404,864.90, 606,908.55 and 314,857.70 is: 471,984.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,864.90 : 606,908.55 = 314,857.70 : x
  2. Step 2: Convert to fraction form
    404,864.90/606,908.55 = 314,857.70/x
  3. Step 3: Cross multiply
    404,864.90x = 606,908.55 × 314,857.70
  4. Step 4: Simplify right side
    404,864.90x = 191,089,830,163.34
  5. Step 5: Solve for x
    x = 191,089,830,163.34/404,864.90
  6. Step 6: Final answer
    x = 471,984.19

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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.