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Finding the Fourth Proportional to 423,206.76, 634,813.86 and 107,664

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Solution

The fourth proportional to 423,206.76, 634,813.86 and 107,664 is: 161,496.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,206.76 : 634,813.86 = 107,664 : x
  2. Step 2: Convert to fraction form
    423,206.76/634,813.86 = 107,664/x
  3. Step 3: Cross multiply
    423,206.76x = 634,813.86 × 107,664
  4. Step 4: Simplify right side
    423,206.76x = 68,346,599,423.04
  5. Step 5: Solve for x
    x = 68,346,599,423.04/423,206.76
  6. Step 6: Final answer
    x = 161,496.95

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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.