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Finding the Fourth Proportional to 567,977.51, 783,796.34 and 313,328.63

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Solution

The fourth proportional to 567,977.51, 783,796.34 and 313,328.63 is: 432,386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,977.51 : 783,796.34 = 313,328.63 : x
  2. Step 2: Convert to fraction form
    567,977.51/783,796.34 = 313,328.63/x
  3. Step 3: Cross multiply
    567,977.51x = 783,796.34 × 313,328.63
  4. Step 4: Simplify right side
    567,977.51x = 245,585,827,925.59
  5. Step 5: Solve for x
    x = 245,585,827,925.59/567,977.51
  6. Step 6: Final answer
    x = 432,386.54

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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.