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Finding the Fourth Proportional to 411,957.10, 577,984.10 and 411,957.10

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Solution

The fourth proportional to 411,957.10, 577,984.10 and 411,957.10 is: 577,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,957.10 : 577,984.10 = 411,957.10 : x
  2. Step 2: Convert to fraction form
    411,957.10/577,984.10 = 411,957.10/x
  3. Step 3: Cross multiply
    411,957.10x = 577,984.10 × 411,957.10
  4. Step 4: Simplify right side
    411,957.10x = 238,104,653,682.11
  5. Step 5: Solve for x
    x = 238,104,653,682.11/411,957.10
  6. Step 6: Final answer
    x = 577,984.10

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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.