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Finding the Fourth Proportional to 455,341.80, 682,948.50 and 286,346.90

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Solution

The fourth proportional to 455,341.80, 682,948.50 and 286,346.90 is: 429,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,341.80 : 682,948.50 = 286,346.90 : x
  2. Step 2: Convert to fraction form
    455,341.80/682,948.50 = 286,346.90/x
  3. Step 3: Cross multiply
    455,341.80x = 682,948.50 × 286,346.90
  4. Step 4: Simplify right side
    455,341.80x = 195,560,185,834.65
  5. Step 5: Solve for x
    x = 195,560,185,834.65/455,341.80
  6. Step 6: Final answer
    x = 429,479.98

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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.