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Finding the Fourth Proportional to 470,835.60, 706,030.80 and 171,107.28

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Solution

The fourth proportional to 470,835.60, 706,030.80 and 171,107.28 is: 256,580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,835.60 : 706,030.80 = 171,107.28 : x
  2. Step 2: Convert to fraction form
    470,835.60/706,030.80 = 171,107.28/x
  3. Step 3: Cross multiply
    470,835.60x = 706,030.80 × 171,107.28
  4. Step 4: Simplify right side
    470,835.60x = 120,807,009,784.22
  5. Step 5: Solve for x
    x = 120,807,009,784.22/470,835.60
  6. Step 6: Final answer
    x = 256,580.02

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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.