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Finding the Fourth Proportional to 407,842.70, 611,764.05 and 407,842.70

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Solution

The fourth proportional to 407,842.70, 611,764.05 and 407,842.70 is: 611,764.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,842.70 : 611,764.05 = 407,842.70 : x
  2. Step 2: Convert to fraction form
    407,842.70/611,764.05 = 407,842.70/x
  3. Step 3: Cross multiply
    407,842.70x = 611,764.05 × 407,842.70
  4. Step 4: Simplify right side
    407,842.70x = 249,503,501,914.94
  5. Step 5: Solve for x
    x = 249,503,501,914.94/407,842.70
  6. Step 6: Final answer
    x = 611,764.05

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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.