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Finding the Fourth Proportional to 340,595.30, 470,036.01 and 189,692.30

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Solution

The fourth proportional to 340,595.30, 470,036.01 and 189,692.30 is: 261,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,595.30 : 470,036.01 = 189,692.30 : x
  2. Step 2: Convert to fraction form
    340,595.30/470,036.01 = 189,692.30/x
  3. Step 3: Cross multiply
    340,595.30x = 470,036.01 × 189,692.30
  4. Step 4: Simplify right side
    340,595.30x = 89,162,211,819.72
  5. Step 5: Solve for x
    x = 89,162,211,819.72/340,595.30
  6. Step 6: Final answer
    x = 261,783.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.