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Finding the Fourth Proportional to 406,881.60, 610,322.40 and 386,145.60

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Solution

The fourth proportional to 406,881.60, 610,322.40 and 386,145.60 is: 579,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,881.60 : 610,322.40 = 386,145.60 : x
  2. Step 2: Convert to fraction form
    406,881.60/610,322.40 = 386,145.60/x
  3. Step 3: Cross multiply
    406,881.60x = 610,322.40 × 386,145.60
  4. Step 4: Simplify right side
    406,881.60x = 235,673,309,341.44
  5. Step 5: Solve for x
    x = 235,673,309,341.44/406,881.60
  6. Step 6: Final answer
    x = 579,218.40

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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.