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Finding the Fourth Proportional to 583,436, 805,142.40 and 315,164

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Solution

The fourth proportional to 583,436, 805,142.40 and 315,164 is: 434,926.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,436 : 805,142.40 = 315,164 : x
  2. Step 2: Convert to fraction form
    583,436/805,142.40 = 315,164/x
  3. Step 3: Cross multiply
    583,436x = 805,142.40 × 315,164
  4. Step 4: Simplify right side
    583,436x = 253,751,899,353.60
  5. Step 5: Solve for x
    x = 253,751,899,353.60/583,436
  6. Step 6: Final answer
    x = 434,926.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.