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Finding the Fourth Proportional to 664,869.40, 997,304.10 and 310,575.40

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Solution

The fourth proportional to 664,869.40, 997,304.10 and 310,575.40 is: 465,863.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,869.40 : 997,304.10 = 310,575.40 : x
  2. Step 2: Convert to fraction form
    664,869.40/997,304.10 = 310,575.40/x
  3. Step 3: Cross multiply
    664,869.40x = 997,304.10 × 310,575.40
  4. Step 4: Simplify right side
    664,869.40x = 309,738,119,779.14
  5. Step 5: Solve for x
    x = 309,738,119,779.14/664,869.40
  6. Step 6: Final answer
    x = 465,863.10

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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.