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Finding the Fourth Proportional to 415,482, 623,326.68 and 119,994

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Solution

The fourth proportional to 415,482, 623,326.68 and 119,994 is: 180,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,482 : 623,326.68 = 119,994 : x
  2. Step 2: Convert to fraction form
    415,482/623,326.68 = 119,994/x
  3. Step 3: Cross multiply
    415,482x = 623,326.68 × 119,994
  4. Step 4: Simplify right side
    415,482x = 74,795,461,639.92
  5. Step 5: Solve for x
    x = 74,795,461,639.92/415,482
  6. Step 6: Final answer
    x = 180,020.94

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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.