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Finding the Fourth Proportional to 514,397.22, 709,860.45 and 284,953.80

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Solution

The fourth proportional to 514,397.22, 709,860.45 and 284,953.80 is: 393,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,397.22 : 709,860.45 = 284,953.80 : x
  2. Step 2: Convert to fraction form
    514,397.22/709,860.45 = 284,953.80/x
  3. Step 3: Cross multiply
    514,397.22x = 709,860.45 × 284,953.80
  4. Step 4: Simplify right side
    514,397.22x = 202,277,432,697.21
  5. Step 5: Solve for x
    x = 202,277,432,697.21/514,397.22
  6. Step 6: Final answer
    x = 393,231.97

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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.