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Finding the Fourth Proportional to 418,330.80, 628,808.40 and 410,457.60

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Solution

The fourth proportional to 418,330.80, 628,808.40 and 410,457.60 is: 616,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,330.80 : 628,808.40 = 410,457.60 : x
  2. Step 2: Convert to fraction form
    418,330.80/628,808.40 = 410,457.60/x
  3. Step 3: Cross multiply
    418,330.80x = 628,808.40 × 410,457.60
  4. Step 4: Simplify right side
    418,330.80x = 258,099,186,723.84
  5. Step 5: Solve for x
    x = 258,099,186,723.84/418,330.80
  6. Step 6: Final answer
    x = 616,973.90

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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.