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Finding the Fourth Proportional to 455,412.90, 683,119.35 and 442,290.90

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Solution

The fourth proportional to 455,412.90, 683,119.35 and 442,290.90 is: 663,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,412.90 : 683,119.35 = 442,290.90 : x
  2. Step 2: Convert to fraction form
    455,412.90/683,119.35 = 442,290.90/x
  3. Step 3: Cross multiply
    455,412.90x = 683,119.35 × 442,290.90
  4. Step 4: Simplify right side
    455,412.90x = 302,137,472,118.92
  5. Step 5: Solve for x
    x = 302,137,472,118.92/455,412.90
  6. Step 6: Final answer
    x = 663,436.35

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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.