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Finding the Fourth Proportional to 567,482.13, 783,130.56 and 312,842.43

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Solution

The fourth proportional to 567,482.13, 783,130.56 and 312,842.43 is: 431,725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,482.13 : 783,130.56 = 312,842.43 : x
  2. Step 2: Convert to fraction form
    567,482.13/783,130.56 = 312,842.43/x
  3. Step 3: Cross multiply
    567,482.13x = 783,130.56 × 312,842.43
  4. Step 4: Simplify right side
    567,482.13x = 244,996,467,397.66
  5. Step 5: Solve for x
    x = 244,996,467,397.66/567,482.13
  6. Step 6: Final answer
    x = 431,725.43

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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.