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Finding the Fourth Proportional to 477,732.30, 716,598.50 and 122,746.31

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Solution

The fourth proportional to 477,732.30, 716,598.50 and 122,746.31 is: 184,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,732.30 : 716,598.50 = 122,746.31 : x
  2. Step 2: Convert to fraction form
    477,732.30/716,598.50 = 122,746.31/x
  3. Step 3: Cross multiply
    477,732.30x = 716,598.50 × 122,746.31
  4. Step 4: Simplify right side
    477,732.30x = 87,959,817,429.81
  5. Step 5: Solve for x
    x = 87,959,817,429.81/477,732.30
  6. Step 6: Final answer
    x = 184,119.47

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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.