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Finding the Fourth Proportional to 430,412.80, 645,619.20 and 411,059.20

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Solution

The fourth proportional to 430,412.80, 645,619.20 and 411,059.20 is: 616,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,412.80 : 645,619.20 = 411,059.20 : x
  2. Step 2: Convert to fraction form
    430,412.80/645,619.20 = 411,059.20/x
  3. Step 3: Cross multiply
    430,412.80x = 645,619.20 × 411,059.20
  4. Step 4: Simplify right side
    430,412.80x = 265,387,711,856.64
  5. Step 5: Solve for x
    x = 265,387,711,856.64/430,412.80
  6. Step 6: Final answer
    x = 616,588.80

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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.