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Finding the Fourth Proportional to 470,871.63, 706,751.33 and 171,641.43

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Solution

The fourth proportional to 470,871.63, 706,751.33 and 171,641.43 is: 257,623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,871.63 : 706,751.33 = 171,641.43 : x
  2. Step 2: Convert to fraction form
    470,871.63/706,751.33 = 171,641.43/x
  3. Step 3: Cross multiply
    470,871.63x = 706,751.33 × 171,641.43
  4. Step 4: Simplify right side
    470,871.63x = 121,307,808,077.40
  5. Step 5: Solve for x
    x = 121,307,808,077.40/470,871.63
  6. Step 6: Final answer
    x = 257,623.95

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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.