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Finding the Fourth Proportional to 406,479.30, 610,410.15 and 301,416.90

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Solution

The fourth proportional to 406,479.30, 610,410.15 and 301,416.90 is: 452,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,479.30 : 610,410.15 = 301,416.90 : x
  2. Step 2: Convert to fraction form
    406,479.30/610,410.15 = 301,416.90/x
  3. Step 3: Cross multiply
    406,479.30x = 610,410.15 × 301,416.90
  4. Step 4: Simplify right side
    406,479.30x = 183,987,935,141.54
  5. Step 5: Solve for x
    x = 183,987,935,141.54/406,479.30
  6. Step 6: Final answer
    x = 452,637.90

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1.5x scale

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.