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Finding the Fourth Proportional to 705,038.97, 972,014.22 and 560,327.97

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Solution

The fourth proportional to 705,038.97, 972,014.22 and 560,327.97 is: 772,505.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,038.97 : 972,014.22 = 560,327.97 : x
  2. Step 2: Convert to fraction form
    705,038.97/972,014.22 = 560,327.97/x
  3. Step 3: Cross multiply
    705,038.97x = 972,014.22 × 560,327.97
  4. Step 4: Simplify right side
    705,038.97x = 544,646,754,703.73
  5. Step 5: Solve for x
    x = 544,646,754,703.73/705,038.97
  6. Step 6: Final answer
    x = 772,505.89

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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.