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Finding the Fourth Proportional to 411,955.10, 577,981.30 and 411,955.10

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Solution

The fourth proportional to 411,955.10, 577,981.30 and 411,955.10 is: 577,981.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,955.10 : 577,981.30 = 411,955.10 : x
  2. Step 2: Convert to fraction form
    411,955.10/577,981.30 = 411,955.10/x
  3. Step 3: Cross multiply
    411,955.10x = 577,981.30 × 411,955.10
  4. Step 4: Simplify right side
    411,955.10x = 238,102,344,239.63
  5. Step 5: Solve for x
    x = 238,102,344,239.63/411,955.10
  6. Step 6: Final answer
    x = 577,981.30

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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.