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Finding the Fourth Proportional to 497,433.47, 686,263.32 and 306,114.71

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Solution

The fourth proportional to 497,433.47, 686,263.32 and 306,114.71 is: 422,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,433.47 : 686,263.32 = 306,114.71 : x
  2. Step 2: Convert to fraction form
    497,433.47/686,263.32 = 306,114.71/x
  3. Step 3: Cross multiply
    497,433.47x = 686,263.32 × 306,114.71
  4. Step 4: Simplify right side
    497,433.47x = 210,075,293,754.12
  5. Step 5: Solve for x
    x = 210,075,293,754.12/497,433.47
  6. Step 6: Final answer
    x = 422,318.38

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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.