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Finding the Fourth Proportional to 569,696.24, 854,543.28 and 214,789.88

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Solution

The fourth proportional to 569,696.24, 854,543.28 and 214,789.88 is: 322,184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,696.24 : 854,543.28 = 214,789.88 : x
  2. Step 2: Convert to fraction form
    569,696.24/854,543.28 = 214,789.88/x
  3. Step 3: Cross multiply
    569,696.24x = 854,543.28 × 214,789.88
  4. Step 4: Simplify right side
    569,696.24x = 183,547,248,566.01
  5. Step 5: Solve for x
    x = 183,547,248,566.01/569,696.24
  6. Step 6: Final answer
    x = 322,184.41

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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.