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Finding the Fourth Proportional to 514,366.68, 709,801.32 and 284,908.47

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Solution

The fourth proportional to 514,366.68, 709,801.32 and 284,908.47 is: 393,160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,366.68 : 709,801.32 = 284,908.47 : x
  2. Step 2: Convert to fraction form
    514,366.68/709,801.32 = 284,908.47/x
  3. Step 3: Cross multiply
    514,366.68x = 709,801.32 × 284,908.47
  4. Step 4: Simplify right side
    514,366.68x = 202,228,408,085.18
  5. Step 5: Solve for x
    x = 202,228,408,085.18/514,366.68
  6. Step 6: Final answer
    x = 393,160.01

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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.