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Finding the Fourth Proportional to 567,971.69, 783,788.32 and 313,322.81

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Solution

The fourth proportional to 567,971.69, 783,788.32 and 313,322.81 is: 432,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,971.69 : 783,788.32 = 313,322.81 : x
  2. Step 2: Convert to fraction form
    567,971.69/783,788.32 = 313,322.81/x
  3. Step 3: Cross multiply
    567,971.69x = 783,788.32 × 313,322.81
  4. Step 4: Simplify right side
    567,971.69x = 245,578,761,218.70
  5. Step 5: Solve for x
    x = 245,578,761,218.70/567,971.69
  6. Step 6: Final answer
    x = 432,378.52

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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.