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Finding the Fourth Proportional to 583,405.20, 805,099.68 and 315,133.20

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Solution

The fourth proportional to 583,405.20, 805,099.68 and 315,133.20 is: 434,884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,405.20 : 805,099.68 = 315,133.20 : x
  2. Step 2: Convert to fraction form
    583,405.20/805,099.68 = 315,133.20/x
  3. Step 3: Cross multiply
    583,405.20x = 805,099.68 × 315,133.20
  4. Step 4: Simplify right side
    583,405.20x = 253,713,638,477.38
  5. Step 5: Solve for x
    x = 253,713,638,477.38/583,405.20
  6. Step 6: Final answer
    x = 434,884.09

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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.