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Finding the Fourth Proportional to 437,758.40, 656,637.60 and 171,430.40

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Solution

The fourth proportional to 437,758.40, 656,637.60 and 171,430.40 is: 257,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,758.40 : 656,637.60 = 171,430.40 : x
  2. Step 2: Convert to fraction form
    437,758.40/656,637.60 = 171,430.40/x
  3. Step 3: Cross multiply
    437,758.40x = 656,637.60 × 171,430.40
  4. Step 4: Simplify right side
    437,758.40x = 112,567,646,423.04
  5. Step 5: Solve for x
    x = 112,567,646,423.04/437,758.40
  6. Step 6: Final answer
    x = 257,145.60

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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.