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Finding the Fourth Proportional to 470,877.80, 706,301.06 and 204,638.58

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Solution

The fourth proportional to 470,877.80, 706,301.06 and 204,638.58 is: 306,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,877.80 : 706,301.06 = 204,638.58 : x
  2. Step 2: Convert to fraction form
    470,877.80/706,301.06 = 204,638.58/x
  3. Step 3: Cross multiply
    470,877.80x = 706,301.06 × 204,638.58
  4. Step 4: Simplify right side
    470,877.80x = 144,536,445,970.90
  5. Step 5: Solve for x
    x = 144,536,445,970.90/470,877.80
  6. Step 6: Final answer
    x = 306,951.07

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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.