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Finding the Fourth Proportional to 617,089.24, 926,490.50 and 317,783.80

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Solution

The fourth proportional to 617,089.24, 926,490.50 and 317,783.80 is: 477,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,089.24 : 926,490.50 = 317,783.80 : x
  2. Step 2: Convert to fraction form
    617,089.24/926,490.50 = 317,783.80/x
  3. Step 3: Cross multiply
    617,089.24x = 926,490.50 × 317,783.80
  4. Step 4: Simplify right side
    617,089.24x = 294,423,671,753.90
  5. Step 5: Solve for x
    x = 294,423,671,753.90/617,089.24
  6. Step 6: Final answer
    x = 477,116.85

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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.