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Finding the Fourth Proportional to 566,705.31, 782,072.42 and 308,592.23

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Solution

The fourth proportional to 566,705.31, 782,072.42 and 308,592.23 is: 425,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,705.31 : 782,072.42 = 308,592.23 : x
  2. Step 2: Convert to fraction form
    566,705.31/782,072.42 = 308,592.23/x
  3. Step 3: Cross multiply
    566,705.31x = 782,072.42 × 308,592.23
  4. Step 4: Simplify right side
    566,705.31x = 241,341,471,055.13
  5. Step 5: Solve for x
    x = 241,341,471,055.13/566,705.31
  6. Step 6: Final answer
    x = 425,867.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.