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Finding the Fourth Proportional to 567,412.96, 783,006.32 and 309,284.24

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Solution

The fourth proportional to 567,412.96, 783,006.32 and 309,284.24 is: 426,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,412.96 : 783,006.32 = 309,284.24 : x
  2. Step 2: Convert to fraction form
    567,412.96/783,006.32 = 309,284.24/x
  3. Step 3: Cross multiply
    567,412.96x = 783,006.32 × 309,284.24
  4. Step 4: Simplify right side
    567,412.96x = 242,171,514,596.40
  5. Step 5: Solve for x
    x = 242,171,514,596.40/567,412.96
  6. Step 6: Final answer
    x = 426,799.41

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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.