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Finding the Fourth Proportional to 465,903.40, 698,855.10 and 452,781.40

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Solution

The fourth proportional to 465,903.40, 698,855.10 and 452,781.40 is: 679,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,903.40 : 698,855.10 = 452,781.40 : x
  2. Step 2: Convert to fraction form
    465,903.40/698,855.10 = 452,781.40/x
  3. Step 3: Cross multiply
    465,903.40x = 698,855.10 × 452,781.40
  4. Step 4: Simplify right side
    465,903.40x = 316,428,590,575.14
  5. Step 5: Solve for x
    x = 316,428,590,575.14/465,903.40
  6. Step 6: Final answer
    x = 679,172.10

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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.