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Finding the Fourth Proportional to 514,043.58, 709,356.99 and 284,584.76

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Solution

The fourth proportional to 514,043.58, 709,356.99 and 284,584.76 is: 392,714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,043.58 : 709,356.99 = 284,584.76 : x
  2. Step 2: Convert to fraction form
    514,043.58/709,356.99 = 284,584.76/x
  3. Step 3: Cross multiply
    514,043.58x = 709,356.99 × 284,584.76
  4. Step 4: Simplify right side
    514,043.58x = 201,872,188,933.97
  5. Step 5: Solve for x
    x = 201,872,188,933.97/514,043.58
  6. Step 6: Final answer
    x = 392,714.15

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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.