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Finding the Fourth Proportional to 336,646.42, 464,740.41 and 209,363.02

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Solution

The fourth proportional to 336,646.42, 464,740.41 and 209,363.02 is: 289,025.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,646.42 : 464,740.41 = 209,363.02 : x
  2. Step 2: Convert to fraction form
    336,646.42/464,740.41 = 209,363.02/x
  3. Step 3: Cross multiply
    336,646.42x = 464,740.41 × 209,363.02
  4. Step 4: Simplify right side
    336,646.42x = 97,299,455,753.64
  5. Step 5: Solve for x
    x = 97,299,455,753.64/336,646.42
  6. Step 6: Final answer
    x = 289,025.67

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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.