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Finding the Fourth Proportional to 477,710.16, 716,449.80 and 140,659.08

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Solution

The fourth proportional to 477,710.16, 716,449.80 and 140,659.08 is: 210,954.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,710.16 : 716,449.80 = 140,659.08 : x
  2. Step 2: Convert to fraction form
    477,710.16/716,449.80 = 140,659.08/x
  3. Step 3: Cross multiply
    477,710.16x = 716,449.80 × 140,659.08
  4. Step 4: Simplify right side
    477,710.16x = 100,775,169,734.18
  5. Step 5: Solve for x
    x = 100,775,169,734.18/477,710.16
  6. Step 6: Final answer
    x = 210,954.63

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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.