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Finding the Fourth Proportional to 285,492.20, 427,828.70 and 210,023.40

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Solution

The fourth proportional to 285,492.20, 427,828.70 and 210,023.40 is: 314,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,492.20 : 427,828.70 = 210,023.40 : x
  2. Step 2: Convert to fraction form
    285,492.20/427,828.70 = 210,023.40/x
  3. Step 3: Cross multiply
    285,492.20x = 427,828.70 × 210,023.40
  4. Step 4: Simplify right side
    285,492.20x = 89,854,038,191.58
  5. Step 5: Solve for x
    x = 89,854,038,191.58/285,492.20
  6. Step 6: Final answer
    x = 314,733.78

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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.