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Finding the Fourth Proportional to 470,955.60, 706,427.73 and 115,973.10

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Solution

The fourth proportional to 470,955.60, 706,427.73 and 115,973.10 is: 173,958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,955.60 : 706,427.73 = 115,973.10 : x
  2. Step 2: Convert to fraction form
    470,955.60/706,427.73 = 115,973.10/x
  3. Step 3: Cross multiply
    470,955.60x = 706,427.73 × 115,973.10
  4. Step 4: Simplify right side
    470,955.60x = 81,926,613,774.06
  5. Step 5: Solve for x
    x = 81,926,613,774.06/470,955.60
  6. Step 6: Final answer
    x = 173,958.25

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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.