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Finding the Fourth Proportional to 495,406.98, 683,665.65 and 269,054.10

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Solution

The fourth proportional to 495,406.98, 683,665.65 and 269,054.10 is: 371,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,406.98 : 683,665.65 = 269,054.10 : x
  2. Step 2: Convert to fraction form
    495,406.98/683,665.65 = 269,054.10/x
  3. Step 3: Cross multiply
    495,406.98x = 683,665.65 × 269,054.10
  4. Step 4: Simplify right side
    495,406.98x = 183,943,046,161.67
  5. Step 5: Solve for x
    x = 183,943,046,161.67/495,406.98
  6. Step 6: Final answer
    x = 371,296.84

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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.