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Finding the Fourth Proportional to 465,391.96, 697,442.08 and 212,053.32

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Solution

The fourth proportional to 465,391.96, 697,442.08 and 212,053.32 is: 317,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,391.96 : 697,442.08 = 212,053.32 : x
  2. Step 2: Convert to fraction form
    465,391.96/697,442.08 = 212,053.32/x
  3. Step 3: Cross multiply
    465,391.96x = 697,442.08 × 212,053.32
  4. Step 4: Simplify right side
    465,391.96x = 147,894,908,571.71
  5. Step 5: Solve for x
    x = 147,894,908,571.71/465,391.96
  6. Step 6: Final answer
    x = 317,785.70

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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.