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Finding the Fourth Proportional to 647,783.48, 971,565.06 and 174,363.32

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Solution

The fourth proportional to 647,783.48, 971,565.06 and 174,363.32 is: 261,515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,783.48 : 971,565.06 = 174,363.32 : x
  2. Step 2: Convert to fraction form
    647,783.48/971,565.06 = 174,363.32/x
  3. Step 3: Cross multiply
    647,783.48x = 971,565.06 × 174,363.32
  4. Step 4: Simplify right side
    647,783.48x = 169,405,309,457.60
  5. Step 5: Solve for x
    x = 169,405,309,457.60/647,783.48
  6. Step 6: Final answer
    x = 261,515.33

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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.