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Finding the Fourth Proportional to 442,130.40, 663,195.60 and 415,886.40

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Solution

The fourth proportional to 442,130.40, 663,195.60 and 415,886.40 is: 623,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,130.40 : 663,195.60 = 415,886.40 : x
  2. Step 2: Convert to fraction form
    442,130.40/663,195.60 = 415,886.40/x
  3. Step 3: Cross multiply
    442,130.40x = 663,195.60 × 415,886.40
  4. Step 4: Simplify right side
    442,130.40x = 275,814,030,579.84
  5. Step 5: Solve for x
    x = 275,814,030,579.84/442,130.40
  6. Step 6: Final answer
    x = 623,829.60

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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.