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Finding the Fourth Proportional to 464,765.70, 697,148.55 and 305,333.40

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Solution

The fourth proportional to 464,765.70, 697,148.55 and 305,333.40 is: 458,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,765.70 : 697,148.55 = 305,333.40 : x
  2. Step 2: Convert to fraction form
    464,765.70/697,148.55 = 305,333.40/x
  3. Step 3: Cross multiply
    464,765.70x = 697,148.55 × 305,333.40
  4. Step 4: Simplify right side
    464,765.70x = 212,862,737,076.57
  5. Step 5: Solve for x
    x = 212,862,737,076.57/464,765.70
  6. Step 6: Final answer
    x = 458,000.10

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Similar ratio
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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.