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Finding the Fourth Proportional to 514,326.62, 709,778.07 and 296,530.98

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Solution

The fourth proportional to 514,326.62, 709,778.07 and 296,530.98 is: 409,216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,326.62 : 709,778.07 = 296,530.98 : x
  2. Step 2: Convert to fraction form
    514,326.62/709,778.07 = 296,530.98/x
  3. Step 3: Cross multiply
    514,326.62x = 709,778.07 × 296,530.98
  4. Step 4: Simplify right side
    514,326.62x = 210,471,186,679.61
  5. Step 5: Solve for x
    x = 210,471,186,679.61/514,326.62
  6. Step 6: Final answer
    x = 409,216.98

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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.