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Finding the Fourth Proportional to 470,824.80, 706,237.20 and 171,643.20

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Solution

The fourth proportional to 470,824.80, 706,237.20 and 171,643.20 is: 257,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,824.80 : 706,237.20 = 171,643.20 : x
  2. Step 2: Convert to fraction form
    470,824.80/706,237.20 = 171,643.20/x
  3. Step 3: Cross multiply
    470,824.80x = 706,237.20 × 171,643.20
  4. Step 4: Simplify right side
    470,824.80x = 121,220,812,967.04
  5. Step 5: Solve for x
    x = 121,220,812,967.04/470,824.80
  6. Step 6: Final answer
    x = 257,464.80

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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.