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Finding the Fourth Proportional to 476,257.71, 713,426.88 and 316,423.65

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Solution

The fourth proportional to 476,257.71, 713,426.88 and 316,423.65 is: 473,997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,257.71 : 713,426.88 = 316,423.65 : x
  2. Step 2: Convert to fraction form
    476,257.71/713,426.88 = 316,423.65/x
  3. Step 3: Cross multiply
    476,257.71x = 713,426.88 × 316,423.65
  4. Step 4: Simplify right side
    476,257.71x = 225,745,137,377.71
  5. Step 5: Solve for x
    x = 225,745,137,377.71/476,257.71
  6. Step 6: Final answer
    x = 473,997.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.