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Finding the Fourth Proportional to 824,718.94, 1,234,978.35 and 543,383.26

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Solution

The fourth proportional to 824,718.94, 1,234,978.35 and 543,383.26 is: 813,691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,718.94 : 1,234,978.35 = 543,383.26 : x
  2. Step 2: Convert to fraction form
    824,718.94/1,234,978.35 = 543,383.26/x
  3. Step 3: Cross multiply
    824,718.94x = 1,234,978.35 × 543,383.26
  4. Step 4: Simplify right side
    824,718.94x = 671,066,561,852.42
  5. Step 5: Solve for x
    x = 671,066,561,852.42/824,718.94
  6. Step 6: Final answer
    x = 813,691.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.