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Finding the Fourth Proportional to 464,903.10, 697,354.65 and 464,903.10

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Solution

The fourth proportional to 464,903.10, 697,354.65 and 464,903.10 is: 697,354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,903.10 : 697,354.65 = 464,903.10 : x
  2. Step 2: Convert to fraction form
    464,903.10/697,354.65 = 464,903.10/x
  3. Step 3: Cross multiply
    464,903.10x = 697,354.65 × 464,903.10
  4. Step 4: Simplify right side
    464,903.10x = 324,202,338,584.42
  5. Step 5: Solve for x
    x = 324,202,338,584.42/464,903.10
  6. Step 6: Final answer
    x = 697,354.65

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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.