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Finding the Fourth Proportional to 402,406.45, 554,940.25 and 264,341.62

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Solution

The fourth proportional to 402,406.45, 554,940.25 and 264,341.62 is: 364,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,406.45 : 554,940.25 = 264,341.62 : x
  2. Step 2: Convert to fraction form
    402,406.45/554,940.25 = 264,341.62/x
  3. Step 3: Cross multiply
    402,406.45x = 554,940.25 × 264,341.62
  4. Step 4: Simplify right side
    402,406.45x = 146,693,804,688.21
  5. Step 5: Solve for x
    x = 146,693,804,688.21/402,406.45
  6. Step 6: Final answer
    x = 364,541.39

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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.