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Finding the Fourth Proportional to 410,852.64, 566,955.92 and 229,528.56

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Solution

The fourth proportional to 410,852.64, 566,955.92 and 229,528.56 is: 316,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,852.64 : 566,955.92 = 229,528.56 : x
  2. Step 2: Convert to fraction form
    410,852.64/566,955.92 = 229,528.56/x
  3. Step 3: Cross multiply
    410,852.64x = 566,955.92 × 229,528.56
  4. Step 4: Simplify right side
    410,852.64x = 130,132,575,901.08
  5. Step 5: Solve for x
    x = 130,132,575,901.08/410,852.64
  6. Step 6: Final answer
    x = 316,737.84

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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.