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Finding the Fourth Proportional to 341,507.84, 470,716.80 and 228,289.28

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Solution

The fourth proportional to 341,507.84, 470,716.80 and 228,289.28 is: 314,662.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,507.84 : 470,716.80 = 228,289.28 : x
  2. Step 2: Convert to fraction form
    341,507.84/470,716.80 = 228,289.28/x
  3. Step 3: Cross multiply
    341,507.84x = 470,716.80 × 228,289.28
  4. Step 4: Simplify right side
    341,507.84x = 107,459,599,355.90
  5. Step 5: Solve for x
    x = 107,459,599,355.90/341,507.84
  6. Step 6: Final answer
    x = 314,662.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.