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Finding the Fourth Proportional to 280,482.69, 420,412.39 and 213,702.65

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Solution

The fourth proportional to 280,482.69, 420,412.39 and 213,702.65 is: 320,316.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,482.69 : 420,412.39 = 213,702.65 : x
  2. Step 2: Convert to fraction form
    280,482.69/420,412.39 = 213,702.65/x
  3. Step 3: Cross multiply
    280,482.69x = 420,412.39 × 213,702.65
  4. Step 4: Simplify right side
    280,482.69x = 89,843,239,199.51
  5. Step 5: Solve for x
    x = 89,843,239,199.51/280,482.69
  6. Step 6: Final answer
    x = 320,316.52

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