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Finding the Fourth Proportional to 565,041.96, 847,487.52 and 210,007.80

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Solution

The fourth proportional to 565,041.96, 847,487.52 and 210,007.80 is: 314,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,041.96 : 847,487.52 = 210,007.80 : x
  2. Step 2: Convert to fraction form
    565,041.96/847,487.52 = 210,007.80/x
  3. Step 3: Cross multiply
    565,041.96x = 847,487.52 × 210,007.80
  4. Step 4: Simplify right side
    565,041.96x = 177,978,989,602.66
  5. Step 5: Solve for x
    x = 177,978,989,602.66/565,041.96
  6. Step 6: Final answer
    x = 314,983.67

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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.