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Finding the Fourth Proportional to 477,811.68, 716,717.34 and 174,228.74

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Solution

The fourth proportional to 477,811.68, 716,717.34 and 174,228.74 is: 261,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,811.68 : 716,717.34 = 174,228.74 : x
  2. Step 2: Convert to fraction form
    477,811.68/716,717.34 = 174,228.74/x
  3. Step 3: Cross multiply
    477,811.68x = 716,717.34 × 174,228.74
  4. Step 4: Simplify right side
    477,811.68x = 124,872,759,532.30
  5. Step 5: Solve for x
    x = 124,872,759,532.30/477,811.68
  6. Step 6: Final answer
    x = 261,343.05

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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.