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Finding the Fourth Proportional to 410,510.84, 566,505.29 and 229,222.51

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Solution

The fourth proportional to 410,510.84, 566,505.29 and 229,222.51 is: 316,327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,510.84 : 566,505.29 = 229,222.51 : x
  2. Step 2: Convert to fraction form
    410,510.84/566,505.29 = 229,222.51/x
  3. Step 3: Cross multiply
    410,510.84x = 566,505.29 × 229,222.51
  4. Step 4: Simplify right side
    410,510.84x = 129,855,763,658.87
  5. Step 5: Solve for x
    x = 129,855,763,658.87/410,510.84
  6. Step 6: Final answer
    x = 316,327.25

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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.