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Finding the Fourth Proportional to 470,732.32, 706,024.05 and 204,421.33

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Solution

The fourth proportional to 470,732.32, 706,024.05 and 204,421.33 is: 306,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,732.32 : 706,024.05 = 204,421.33 : x
  2. Step 2: Convert to fraction form
    470,732.32/706,024.05 = 204,421.33/x
  3. Step 3: Cross multiply
    470,732.32x = 706,024.05 × 204,421.33
  4. Step 4: Simplify right side
    470,732.32x = 144,326,375,312.99
  5. Step 5: Solve for x
    x = 144,326,375,312.99/470,732.32
  6. Step 6: Final answer
    x = 306,599.67

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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.