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Finding the Fourth Proportional to 514,429.16, 709,892.34 and 288,063.08

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Solution

The fourth proportional to 514,429.16, 709,892.34 and 288,063.08 is: 397,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,429.16 : 709,892.34 = 288,063.08 : x
  2. Step 2: Convert to fraction form
    514,429.16/709,892.34 = 288,063.08/x
  3. Step 3: Cross multiply
    514,429.16x = 709,892.34 × 288,063.08
  4. Step 4: Simplify right side
    514,429.16x = 204,493,773,928.81
  5. Step 5: Solve for x
    x = 204,493,773,928.81/514,429.16
  6. Step 6: Final answer
    x = 397,515.91

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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.