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Finding the Fourth Proportional to 343,713.80, 514,533.90 and 302,241.80

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Solution

The fourth proportional to 343,713.80, 514,533.90 and 302,241.80 is: 452,451.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,713.80 : 514,533.90 = 302,241.80 : x
  2. Step 2: Convert to fraction form
    343,713.80/514,533.90 = 302,241.80/x
  3. Step 3: Cross multiply
    343,713.80x = 514,533.90 × 302,241.80
  4. Step 4: Simplify right side
    343,713.80x = 155,513,652,097.02
  5. Step 5: Solve for x
    x = 155,513,652,097.02/343,713.80
  6. Step 6: Final answer
    x = 452,451.00

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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.