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Finding the Fourth Proportional to 583,342, 805,012.50 and 315,070

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Solution

The fourth proportional to 583,342, 805,012.50 and 315,070 is: 434,796.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,342 : 805,012.50 = 315,070 : x
  2. Step 2: Convert to fraction form
    583,342/805,012.50 = 315,070/x
  3. Step 3: Cross multiply
    583,342x = 805,012.50 × 315,070
  4. Step 4: Simplify right side
    583,342x = 253,635,288,375
  5. Step 5: Solve for x
    x = 253,635,288,375/583,342
  6. Step 6: Final answer
    x = 434,796.89

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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.