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Finding the Fourth Proportional to 409,543.80, 614,315.70 and 386,215.80

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Solution

The fourth proportional to 409,543.80, 614,315.70 and 386,215.80 is: 579,323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,543.80 : 614,315.70 = 386,215.80 : x
  2. Step 2: Convert to fraction form
    409,543.80/614,315.70 = 386,215.80/x
  3. Step 3: Cross multiply
    409,543.80x = 614,315.70 × 386,215.80
  4. Step 4: Simplify right side
    409,543.80x = 237,258,429,528.06
  5. Step 5: Solve for x
    x = 237,258,429,528.06/409,543.80
  6. Step 6: Final answer
    x = 579,323.70

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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.