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Finding the Fourth Proportional to 617,326.50, 925,312.40 and 317,823.06

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Solution

The fourth proportional to 617,326.50, 925,312.40 and 317,823.06 is: 476,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,326.50 : 925,312.40 = 317,823.06 : x
  2. Step 2: Convert to fraction form
    617,326.50/925,312.40 = 317,823.06/x
  3. Step 3: Cross multiply
    617,326.50x = 925,312.40 × 317,823.06
  4. Step 4: Simplify right side
    617,326.50x = 294,085,618,423.94
  5. Step 5: Solve for x
    x = 294,085,618,423.94/617,326.50
  6. Step 6: Final answer
    x = 476,385.86

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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.