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Finding the Fourth Proportional to 341,300.64, 470,775.60 and 207,164.64

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Solution

The fourth proportional to 341,300.64, 470,775.60 and 207,164.64 is: 285,754.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,300.64 : 470,775.60 = 207,164.64 : x
  2. Step 2: Convert to fraction form
    341,300.64/470,775.60 = 207,164.64/x
  3. Step 3: Cross multiply
    341,300.64x = 470,775.60 × 207,164.64
  4. Step 4: Simplify right side
    341,300.64x = 97,528,057,694.78
  5. Step 5: Solve for x
    x = 97,528,057,694.78/341,300.64
  6. Step 6: Final answer
    x = 285,754.10

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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.