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Finding the Fourth Proportional to 582,829.16, 803,996.38 and 401,225.81

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Solution

The fourth proportional to 582,829.16, 803,996.38 and 401,225.81 is: 553,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,829.16 : 803,996.38 = 401,225.81 : x
  2. Step 2: Convert to fraction form
    582,829.16/803,996.38 = 401,225.81/x
  3. Step 3: Cross multiply
    582,829.16x = 803,996.38 × 401,225.81
  4. Step 4: Simplify right side
    582,829.16x = 322,584,095,284.12
  5. Step 5: Solve for x
    x = 322,584,095,284.12/582,829.16
  6. Step 6: Final answer
    x = 553,479.68

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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.