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Finding the Fourth Proportional to 414,923.40, 579,648.60 and 414,923.40

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Solution

The fourth proportional to 414,923.40, 579,648.60 and 414,923.40 is: 579,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,923.40 : 579,648.60 = 414,923.40 : x
  2. Step 2: Convert to fraction form
    414,923.40/579,648.60 = 414,923.40/x
  3. Step 3: Cross multiply
    414,923.40x = 579,648.60 × 414,923.40
  4. Step 4: Simplify right side
    414,923.40x = 240,509,767,917.24
  5. Step 5: Solve for x
    x = 240,509,767,917.24/414,923.40
  6. Step 6: Final answer
    x = 579,648.60

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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.