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Finding the Fourth Proportional to 464,780.70, 697,171.05 and 305,348.40

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Solution

The fourth proportional to 464,780.70, 697,171.05 and 305,348.40 is: 458,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,780.70 : 697,171.05 = 305,348.40 : x
  2. Step 2: Convert to fraction form
    464,780.70/697,171.05 = 305,348.40/x
  3. Step 3: Cross multiply
    464,780.70x = 697,171.05 × 305,348.40
  4. Step 4: Simplify right side
    464,780.70x = 212,880,064,643.82
  5. Step 5: Solve for x
    x = 212,880,064,643.82/464,780.70
  6. Step 6: Final answer
    x = 458,022.60

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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.