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Finding the Fourth Proportional to 343,710.80, 514,529.40 and 302,238.80

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Solution

The fourth proportional to 343,710.80, 514,529.40 and 302,238.80 is: 452,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,710.80 : 514,529.40 = 302,238.80 : x
  2. Step 2: Convert to fraction form
    343,710.80/514,529.40 = 302,238.80/x
  3. Step 3: Cross multiply
    343,710.80x = 514,529.40 × 302,238.80
  4. Step 4: Simplify right side
    343,710.80x = 155,510,748,420.72
  5. Step 5: Solve for x
    x = 155,510,748,420.72/343,710.80
  6. Step 6: Final answer
    x = 452,446.50

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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.