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Finding the Fourth Proportional to 410,655.51, 566,698.62 and 229,370.01

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Solution

The fourth proportional to 410,655.51, 566,698.62 and 229,370.01 is: 316,527.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,655.51 : 566,698.62 = 229,370.01 : x
  2. Step 2: Convert to fraction form
    410,655.51/566,698.62 = 229,370.01/x
  3. Step 3: Cross multiply
    410,655.51x = 566,698.62 × 229,370.01
  4. Step 4: Simplify right side
    410,655.51x = 129,983,668,136.39
  5. Step 5: Solve for x
    x = 129,983,668,136.39/410,655.51
  6. Step 6: Final answer
    x = 316,527.27

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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.