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Finding the Fourth Proportional to 411,927.20, 575,298.40 and 411,927.20

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Solution

The fourth proportional to 411,927.20, 575,298.40 and 411,927.20 is: 575,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,927.20 : 575,298.40 = 411,927.20 : x
  2. Step 2: Convert to fraction form
    411,927.20/575,298.40 = 411,927.20/x
  3. Step 3: Cross multiply
    411,927.20x = 575,298.40 × 411,927.20
  4. Step 4: Simplify right side
    411,927.20x = 236,981,059,076.48
  5. Step 5: Solve for x
    x = 236,981,059,076.48/411,927.20
  6. Step 6: Final answer
    x = 575,298.40

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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.