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Finding the Fourth Proportional to 414,340.40, 581,651.20 and 414,340.40

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Solution

The fourth proportional to 414,340.40, 581,651.20 and 414,340.40 is: 581,651.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,340.40 : 581,651.20 = 414,340.40 : x
  2. Step 2: Convert to fraction form
    414,340.40/581,651.20 = 414,340.40/x
  3. Step 3: Cross multiply
    414,340.40x = 581,651.20 × 414,340.40
  4. Step 4: Simplify right side
    414,340.40x = 241,001,590,868.48
  5. Step 5: Solve for x
    x = 241,001,590,868.48/414,340.40
  6. Step 6: Final answer
    x = 581,651.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.