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Finding the Fourth Proportional to 458,184.06, 686,362.68 and 357,874.74

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Solution

The fourth proportional to 458,184.06, 686,362.68 and 357,874.74 is: 536,098.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,184.06 : 686,362.68 = 357,874.74 : x
  2. Step 2: Convert to fraction form
    458,184.06/686,362.68 = 357,874.74/x
  3. Step 3: Cross multiply
    458,184.06x = 686,362.68 × 357,874.74
  4. Step 4: Simplify right side
    458,184.06x = 245,631,865,650.70
  5. Step 5: Solve for x
    x = 245,631,865,650.70/458,184.06
  6. Step 6: Final answer
    x = 536,098.67

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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.