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Finding the Fourth Proportional to 464,912.55, 697,368.83 and 314,337.60

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Solution

The fourth proportional to 464,912.55, 697,368.83 and 314,337.60 is: 471,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,912.55 : 697,368.83 = 314,337.60 : x
  2. Step 2: Convert to fraction form
    464,912.55/697,368.83 = 314,337.60/x
  3. Step 3: Cross multiply
    464,912.55x = 697,368.83 × 314,337.60
  4. Step 4: Simplify right side
    464,912.55x = 219,209,242,765.32
  5. Step 5: Solve for x
    x = 219,209,242,765.32/464,912.55
  6. Step 6: Final answer
    x = 471,506.40

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Similar ratio
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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.