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Finding the Fourth Proportional to 458,446.40, 686,114.40 and 402,459.20

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Solution

The fourth proportional to 458,446.40, 686,114.40 and 402,459.20 is: 602,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,446.40 : 686,114.40 = 402,459.20 : x
  2. Step 2: Convert to fraction form
    458,446.40/686,114.40 = 402,459.20/x
  3. Step 3: Cross multiply
    458,446.40x = 686,114.40 × 402,459.20
  4. Step 4: Simplify right side
    458,446.40x = 276,133,052,532.48
  5. Step 5: Solve for x
    x = 276,133,052,532.48/458,446.40
  6. Step 6: Final answer
    x = 602,323.53

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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.