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Finding the Fourth Proportional to 477,530.88, 716,302.08 and 161,980.80

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Solution

The fourth proportional to 477,530.88, 716,302.08 and 161,980.80 is: 242,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,530.88 : 716,302.08 = 161,980.80 : x
  2. Step 2: Convert to fraction form
    477,530.88/716,302.08 = 161,980.80/x
  3. Step 3: Cross multiply
    477,530.88x = 716,302.08 × 161,980.80
  4. Step 4: Simplify right side
    477,530.88x = 116,027,183,960.06
  5. Step 5: Solve for x
    x = 116,027,183,960.06/477,530.88
  6. Step 6: Final answer
    x = 242,973.15

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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.