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Finding the Fourth Proportional to 458,518.20, 686,465.10 and 406,030.20

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Solution

The fourth proportional to 458,518.20, 686,465.10 and 406,030.20 is: 607,883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,518.20 : 686,465.10 = 406,030.20 : x
  2. Step 2: Convert to fraction form
    458,518.20/686,465.10 = 406,030.20/x
  3. Step 3: Cross multiply
    458,518.20x = 686,465.10 × 406,030.20
  4. Step 4: Simplify right side
    458,518.20x = 278,725,561,846.02
  5. Step 5: Solve for x
    x = 278,725,561,846.02/458,518.20
  6. Step 6: Final answer
    x = 607,883.31

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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.