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Finding the Fourth Proportional to 466,316.49, 643,516.83 and 265,112.49

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Solution

The fourth proportional to 466,316.49, 643,516.83 and 265,112.49 is: 365,855.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,316.49 : 643,516.83 = 265,112.49 : x
  2. Step 2: Convert to fraction form
    466,316.49/643,516.83 = 265,112.49/x
  3. Step 3: Cross multiply
    466,316.49x = 643,516.83 × 265,112.49
  4. Step 4: Simplify right side
    466,316.49x = 170,604,349,158.21
  5. Step 5: Solve for x
    x = 170,604,349,158.21/466,316.49
  6. Step 6: Final answer
    x = 365,855.28

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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.