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Finding the Fourth Proportional to 460,097.40, 690,167.70 and 144,564.60

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Solution

The fourth proportional to 460,097.40, 690,167.70 and 144,564.60 is: 216,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,097.40 : 690,167.70 = 144,564.60 : x
  2. Step 2: Convert to fraction form
    460,097.40/690,167.70 = 144,564.60/x
  3. Step 3: Cross multiply
    460,097.40x = 690,167.70 × 144,564.60
  4. Step 4: Simplify right side
    460,097.40x = 99,773,817,483.42
  5. Step 5: Solve for x
    x = 99,773,817,483.42/460,097.40
  6. Step 6: Final answer
    x = 216,853.69

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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.