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Finding the Fourth Proportional to 583,686, 805,486.68 and 315,414

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Solution

The fourth proportional to 583,686, 805,486.68 and 315,414 is: 435,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,686 : 805,486.68 = 315,414 : x
  2. Step 2: Convert to fraction form
    583,686/805,486.68 = 315,414/x
  3. Step 3: Cross multiply
    583,686x = 805,486.68 × 315,414
  4. Step 4: Simplify right side
    583,686x = 254,061,775,685.52
  5. Step 5: Solve for x
    x = 254,061,775,685.52/583,686
  6. Step 6: Final answer
    x = 435,271.32

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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.