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Finding the Fourth Proportional to 497,835, 687,064.14 and 306,843.48

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Solution

The fourth proportional to 497,835, 687,064.14 and 306,843.48 is: 423,475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,835 : 687,064.14 = 306,843.48 : x
  2. Step 2: Convert to fraction form
    497,835/687,064.14 = 306,843.48/x
  3. Step 3: Cross multiply
    497,835x = 687,064.14 × 306,843.48
  4. Step 4: Simplify right side
    497,835x = 210,821,151,700.81
  5. Step 5: Solve for x
    x = 210,821,151,700.81/497,835
  6. Step 6: Final answer
    x = 423,475.95

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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.