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Finding the Fourth Proportional to 335,823.30, 470,774.70 and 335,823.30

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Solution

The fourth proportional to 335,823.30, 470,774.70 and 335,823.30 is: 470,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,823.30 : 470,774.70 = 335,823.30 : x
  2. Step 2: Convert to fraction form
    335,823.30/470,774.70 = 335,823.30/x
  3. Step 3: Cross multiply
    335,823.30x = 470,774.70 × 335,823.30
  4. Step 4: Simplify right side
    335,823.30x = 158,097,113,310.51
  5. Step 5: Solve for x
    x = 158,097,113,310.51/335,823.30
  6. Step 6: Final answer
    x = 470,774.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.