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Finding the Fourth Proportional to 567,926, 783,677.32 and 313,277.16

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Solution

The fourth proportional to 567,926, 783,677.32 and 313,277.16 is: 432,289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,926 : 783,677.32 = 313,277.16 : x
  2. Step 2: Convert to fraction form
    567,926/783,677.32 = 313,277.16/x
  3. Step 3: Cross multiply
    567,926x = 783,677.32 × 313,277.16
  4. Step 4: Simplify right side
    567,926x = 245,508,205,166.01
  5. Step 5: Solve for x
    x = 245,508,205,166.01/567,926
  6. Step 6: Final answer
    x = 432,289.07

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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.