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Finding the Fourth Proportional to 566,903.24, 782,317.08 and 312,278.12

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Solution

The fourth proportional to 566,903.24, 782,317.08 and 312,278.12 is: 430,938.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,903.24 : 782,317.08 = 312,278.12 : x
  2. Step 2: Convert to fraction form
    566,903.24/782,317.08 = 312,278.12/x
  3. Step 3: Cross multiply
    566,903.24x = 782,317.08 × 312,278.12
  4. Step 4: Simplify right side
    566,903.24x = 244,300,506,986.29
  5. Step 5: Solve for x
    x = 244,300,506,986.29/566,903.24
  6. Step 6: Final answer
    x = 430,938.63

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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.