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Finding the Fourth Proportional to 470,730.70, 706,096.05 and 470,730.70

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Solution

The fourth proportional to 470,730.70, 706,096.05 and 470,730.70 is: 706,096.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,730.70 : 706,096.05 = 470,730.70 : x
  2. Step 2: Convert to fraction form
    470,730.70/706,096.05 = 470,730.70/x
  3. Step 3: Cross multiply
    470,730.70x = 706,096.05 × 470,730.70
  4. Step 4: Simplify right side
    470,730.70x = 332,381,087,883.74
  5. Step 5: Solve for x
    x = 332,381,087,883.74/470,730.70
  6. Step 6: Final answer
    x = 706,096.05

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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.