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Finding the Fourth Proportional to 594,815.40, 892,223.10 and 314,879.40

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Solution

The fourth proportional to 594,815.40, 892,223.10 and 314,879.40 is: 472,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,815.40 : 892,223.10 = 314,879.40 : x
  2. Step 2: Convert to fraction form
    594,815.40/892,223.10 = 314,879.40/x
  3. Step 3: Cross multiply
    594,815.40x = 892,223.10 × 314,879.40
  4. Step 4: Simplify right side
    594,815.40x = 280,942,674,394.14
  5. Step 5: Solve for x
    x = 280,942,674,394.14/594,815.40
  6. Step 6: Final answer
    x = 472,319.10

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1.5x scale

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.