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Finding the Fourth Proportional to 413,938.60, 578,814.20 and 413,938.60

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Solution

The fourth proportional to 413,938.60, 578,814.20 and 413,938.60 is: 578,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,938.60 : 578,814.20 = 413,938.60 : x
  2. Step 2: Convert to fraction form
    413,938.60/578,814.20 = 413,938.60/x
  3. Step 3: Cross multiply
    413,938.60x = 578,814.20 × 413,938.60
  4. Step 4: Simplify right side
    413,938.60x = 239,593,539,608.12
  5. Step 5: Solve for x
    x = 239,593,539,608.12/413,938.60
  6. Step 6: Final answer
    x = 578,814.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.