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Finding the Fourth Proportional to 516,570.84, 712,835.10 and 301,771.80

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Solution

The fourth proportional to 516,570.84, 712,835.10 and 301,771.80 is: 416,426.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,570.84 : 712,835.10 = 301,771.80 : x
  2. Step 2: Convert to fraction form
    516,570.84/712,835.10 = 301,771.80/x
  3. Step 3: Cross multiply
    516,570.84x = 712,835.10 × 301,771.80
  4. Step 4: Simplify right side
    516,570.84x = 215,113,531,230.18
  5. Step 5: Solve for x
    x = 215,113,531,230.18/516,570.84
  6. Step 6: Final answer
    x = 416,426.01

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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.