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Finding the Fourth Proportional to 477,682, 716,529.15 and 140,646.02

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Solution

The fourth proportional to 477,682, 716,529.15 and 140,646.02 is: 210,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,682 : 716,529.15 = 140,646.02 : x
  2. Step 2: Convert to fraction form
    477,682/716,529.15 = 140,646.02/x
  3. Step 3: Cross multiply
    477,682x = 716,529.15 × 140,646.02
  4. Step 4: Simplify right side
    477,682x = 100,776,973,161.48
  5. Step 5: Solve for x
    x = 100,776,973,161.48/477,682
  6. Step 6: Final answer
    x = 210,970.84

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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.