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Finding the Fourth Proportional to 514,203.93, 709,562.03 and 287,818.65

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Solution

The fourth proportional to 514,203.93, 709,562.03 and 287,818.65 is: 397,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,203.93 : 709,562.03 = 287,818.65 : x
  2. Step 2: Convert to fraction form
    514,203.93/709,562.03 = 287,818.65/x
  3. Step 3: Cross multiply
    514,203.93x = 709,562.03 × 287,818.65
  4. Step 4: Simplify right side
    514,203.93x = 204,225,184,126.77
  5. Step 5: Solve for x
    x = 204,225,184,126.77/514,203.93
  6. Step 6: Final answer
    x = 397,167.68

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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.