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Finding the Fourth Proportional to 514,462.84, 709,830.48 and 296,738.08

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Solution

The fourth proportional to 514,462.84, 709,830.48 and 296,738.08 is: 409,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,462.84 : 709,830.48 = 296,738.08 : x
  2. Step 2: Convert to fraction form
    514,462.84/709,830.48 = 296,738.08/x
  3. Step 3: Cross multiply
    514,462.84x = 709,830.48 × 296,738.08
  4. Step 4: Simplify right side
    514,462.84x = 210,633,733,760.68
  5. Step 5: Solve for x
    x = 210,633,733,760.68/514,462.84
  6. Step 6: Final answer
    x = 409,424.58

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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.