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Finding the Fourth Proportional to 567,931, 783,684.26 and 313,282.20

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Solution

The fourth proportional to 567,931, 783,684.26 and 313,282.20 is: 432,296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,931 : 783,684.26 = 313,282.20 : x
  2. Step 2: Convert to fraction form
    567,931/783,684.26 = 313,282.20/x
  3. Step 3: Cross multiply
    567,931x = 783,684.26 × 313,282.20
  4. Step 4: Simplify right side
    567,931x = 245,514,329,078.17
  5. Step 5: Solve for x
    x = 245,514,329,078.17/567,931
  6. Step 6: Final answer
    x = 432,296.05

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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.