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Finding the Fourth Proportional to 335,830.30, 470,784.50 and 335,830.30

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Solution

The fourth proportional to 335,830.30, 470,784.50 and 335,830.30 is: 470,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,830.30 : 470,784.50 = 335,830.30 : x
  2. Step 2: Convert to fraction form
    335,830.30/470,784.50 = 335,830.30/x
  3. Step 3: Cross multiply
    335,830.30x = 470,784.50 × 335,830.30
  4. Step 4: Simplify right side
    335,830.30x = 158,103,699,870.35
  5. Step 5: Solve for x
    x = 158,103,699,870.35/335,830.30
  6. Step 6: Final answer
    x = 470,784.50

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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.