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Finding the Fourth Proportional to 465,390.96, 697,440.58 and 212,052.32

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Solution

The fourth proportional to 465,390.96, 697,440.58 and 212,052.32 is: 317,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,390.96 : 697,440.58 = 212,052.32 : x
  2. Step 2: Convert to fraction form
    465,390.96/697,440.58 = 212,052.32/x
  3. Step 3: Cross multiply
    465,390.96x = 697,440.58 × 212,052.32
  4. Step 4: Simplify right side
    465,390.96x = 147,893,894,264.62
  5. Step 5: Solve for x
    x = 147,893,894,264.62/465,390.96
  6. Step 6: Final answer
    x = 317,784.20

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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.