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Finding the Fourth Proportional to 583,207.26, 804,826 and 314,935.26

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Solution

The fourth proportional to 583,207.26, 804,826 and 314,935.26 is: 434,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,207.26 : 804,826 = 314,935.26 : x
  2. Step 2: Convert to fraction form
    583,207.26/804,826 = 314,935.26/x
  3. Step 3: Cross multiply
    583,207.26x = 804,826 × 314,935.26
  4. Step 4: Simplify right side
    583,207.26x = 253,468,085,564.76
  5. Step 5: Solve for x
    x = 253,468,085,564.76/583,207.26
  6. Step 6: Final answer
    x = 434,610.65

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1.5x scale

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.