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Finding the Fourth Proportional to 566,903.80, 782,327.16 and 312,254.98

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Solution

The fourth proportional to 566,903.80, 782,327.16 and 312,254.98 is: 430,911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,903.80 : 782,327.16 = 312,254.98 : x
  2. Step 2: Convert to fraction form
    566,903.80/782,327.16 = 312,254.98/x
  3. Step 3: Cross multiply
    566,903.80x = 782,327.16 × 312,254.98
  4. Step 4: Simplify right side
    566,903.80x = 244,285,551,699.26
  5. Step 5: Solve for x
    x = 244,285,551,699.26/566,903.80
  6. Step 6: Final answer
    x = 430,911.83

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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.