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Finding the Fourth Proportional to 410,893.89, 567,022.67 and 229,607.31

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Solution

The fourth proportional to 410,893.89, 567,022.67 and 229,607.31 is: 316,852.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,893.89 : 567,022.67 = 229,607.31 : x
  2. Step 2: Convert to fraction form
    410,893.89/567,022.67 = 229,607.31/x
  3. Step 3: Cross multiply
    410,893.89x = 567,022.67 × 229,607.31
  4. Step 4: Simplify right side
    410,893.89x = 130,192,549,263.31
  5. Step 5: Solve for x
    x = 130,192,549,263.31/410,893.89
  6. Step 6: Final answer
    x = 316,852.00

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1.5x scale

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.