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Finding the Fourth Proportional to 582,051.84, 803,225.76 and 323,924.40

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Solution

The fourth proportional to 582,051.84, 803,225.76 and 323,924.40 is: 447,012.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,051.84 : 803,225.76 = 323,924.40 : x
  2. Step 2: Convert to fraction form
    582,051.84/803,225.76 = 323,924.40/x
  3. Step 3: Cross multiply
    582,051.84x = 803,225.76 × 323,924.40
  4. Step 4: Simplify right side
    582,051.84x = 260,184,422,372.54
  5. Step 5: Solve for x
    x = 260,184,422,372.54/582,051.84
  6. Step 6: Final answer
    x = 447,012.46

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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.