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Finding the Fourth Proportional to 407,582.80, 611,374.20 and 314,270.80

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Solution

The fourth proportional to 407,582.80, 611,374.20 and 314,270.80 is: 471,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,582.80 : 611,374.20 = 314,270.80 : x
  2. Step 2: Convert to fraction form
    407,582.80/611,374.20 = 314,270.80/x
  3. Step 3: Cross multiply
    407,582.80x = 611,374.20 × 314,270.80
  4. Step 4: Simplify right side
    407,582.80x = 192,137,058,933.36
  5. Step 5: Solve for x
    x = 192,137,058,933.36/407,582.80
  6. Step 6: Final answer
    x = 471,406.20

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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.