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Finding the Fourth Proportional to 517,070.70, 713,659.77 and 335,527.74

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Solution

The fourth proportional to 517,070.70, 713,659.77 and 335,527.74 is: 463,094.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,070.70 : 713,659.77 = 335,527.74 : x
  2. Step 2: Convert to fraction form
    517,070.70/713,659.77 = 335,527.74/x
  3. Step 3: Cross multiply
    517,070.70x = 713,659.77 × 335,527.74
  4. Step 4: Simplify right side
    517,070.70x = 239,452,649,757.02
  5. Step 5: Solve for x
    x = 239,452,649,757.02/517,070.70
  6. Step 6: Final answer
    x = 463,094.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.