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Finding the Fourth Proportional to 514,453.84, 709,975.80 and 288,097.36

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Solution

The fourth proportional to 514,453.84, 709,975.80 and 288,097.36 is: 397,590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,453.84 : 709,975.80 = 288,097.36 : x
  2. Step 2: Convert to fraction form
    514,453.84/709,975.80 = 288,097.36/x
  3. Step 3: Cross multiply
    514,453.84x = 709,975.80 × 288,097.36
  4. Step 4: Simplify right side
    514,453.84x = 204,542,153,643.89
  5. Step 5: Solve for x
    x = 204,542,153,643.89/514,453.84
  6. Step 6: Final answer
    x = 397,590.88

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1.5x scale

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.