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Finding the Fourth Proportional to 612,214.70, 918,322.05 and 442,940.90

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Solution

The fourth proportional to 612,214.70, 918,322.05 and 442,940.90 is: 664,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,214.70 : 918,322.05 = 442,940.90 : x
  2. Step 2: Convert to fraction form
    612,214.70/918,322.05 = 442,940.90/x
  3. Step 3: Cross multiply
    612,214.70x = 918,322.05 × 442,940.90
  4. Step 4: Simplify right side
    612,214.70x = 406,762,395,316.85
  5. Step 5: Solve for x
    x = 406,762,395,316.85/612,214.70
  6. Step 6: Final answer
    x = 664,411.35

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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.