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Finding the Fourth Proportional to 410,661.51, 566,706.90 and 229,376.01

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Solution

The fourth proportional to 410,661.51, 566,706.90 and 229,376.01 is: 316,535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,661.51 : 566,706.90 = 229,376.01 : x
  2. Step 2: Convert to fraction form
    410,661.51/566,706.90 = 229,376.01/x
  3. Step 3: Cross multiply
    410,661.51x = 566,706.90 × 229,376.01
  4. Step 4: Simplify right side
    410,661.51x = 129,988,967,561.47
  5. Step 5: Solve for x
    x = 129,988,967,561.47/410,661.51
  6. Step 6: Final answer
    x = 316,535.55

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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.