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Finding the Fourth Proportional to 582,459.26, 803,485.50 and 400,855.90

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Solution

The fourth proportional to 582,459.26, 803,485.50 and 400,855.90 is: 552,968.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,459.26 : 803,485.50 = 400,855.90 : x
  2. Step 2: Convert to fraction form
    582,459.26/803,485.50 = 400,855.90/x
  3. Step 3: Cross multiply
    582,459.26x = 803,485.50 × 400,855.90
  4. Step 4: Simplify right side
    582,459.26x = 322,081,903,239.45
  5. Step 5: Solve for x
    x = 322,081,903,239.45/582,459.26
  6. Step 6: Final answer
    x = 552,968.98

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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.