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Finding the Fourth Proportional to 469,905.40, 704,858.10 and 233,709.40

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Solution

The fourth proportional to 469,905.40, 704,858.10 and 233,709.40 is: 350,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,905.40 : 704,858.10 = 233,709.40 : x
  2. Step 2: Convert to fraction form
    469,905.40/704,858.10 = 233,709.40/x
  3. Step 3: Cross multiply
    469,905.40x = 704,858.10 × 233,709.40
  4. Step 4: Simplify right side
    469,905.40x = 164,731,963,636.14
  5. Step 5: Solve for x
    x = 164,731,963,636.14/469,905.40
  6. Step 6: Final answer
    x = 350,564.10

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Similar ratio
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1.5x scale

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.