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Finding the Fourth Proportional to 437,980.20, 657,143.10 and 171,695.40

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Solution

The fourth proportional to 437,980.20, 657,143.10 and 171,695.40 is: 257,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,980.20 : 657,143.10 = 171,695.40 : x
  2. Step 2: Convert to fraction form
    437,980.20/657,143.10 = 171,695.40/x
  3. Step 3: Cross multiply
    437,980.20x = 657,143.10 × 171,695.40
  4. Step 4: Simplify right side
    437,980.20x = 112,828,447,411.74
  5. Step 5: Solve for x
    x = 112,828,447,411.74/437,980.20
  6. Step 6: Final answer
    x = 257,610.84

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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.