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Finding the Fourth Proportional to 477,732.11, 716,598.20 and 122,746.14

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Solution

The fourth proportional to 477,732.11, 716,598.20 and 122,746.14 is: 184,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,732.11 : 716,598.20 = 122,746.14 : x
  2. Step 2: Convert to fraction form
    477,732.11/716,598.20 = 122,746.14/x
  3. Step 3: Cross multiply
    477,732.11x = 716,598.20 × 122,746.14
  4. Step 4: Simplify right side
    477,732.11x = 87,959,663,287.81
  5. Step 5: Solve for x
    x = 87,959,663,287.81/477,732.11
  6. Step 6: Final answer
    x = 184,119.22

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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.