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Finding the Fourth Proportional to 406,482.30, 610,414.65 and 301,419.90

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Solution

The fourth proportional to 406,482.30, 610,414.65 and 301,419.90 is: 452,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,482.30 : 610,414.65 = 301,419.90 : x
  2. Step 2: Convert to fraction form
    406,482.30/610,414.65 = 301,419.90/x
  3. Step 3: Cross multiply
    406,482.30x = 610,414.65 × 301,419.90
  4. Step 4: Simplify right side
    406,482.30x = 183,991,122,761.54
  5. Step 5: Solve for x
    x = 183,991,122,761.54/406,482.30
  6. Step 6: Final answer
    x = 452,642.40

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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.