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Finding the Fourth Proportional to 512,370.83, 707,077.55 and 282,927.80

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Solution

The fourth proportional to 512,370.83, 707,077.55 and 282,927.80 is: 390,443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,370.83 : 707,077.55 = 282,927.80 : x
  2. Step 2: Convert to fraction form
    512,370.83/707,077.55 = 282,927.80/x
  3. Step 3: Cross multiply
    512,370.83x = 707,077.55 × 282,927.80
  4. Step 4: Simplify right side
    512,370.83x = 200,051,898,125.90
  5. Step 5: Solve for x
    x = 200,051,898,125.90/512,370.83
  6. Step 6: Final answer
    x = 390,443.57

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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.