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Finding the Fourth Proportional to 564,195.23, 778,642.15 and 322,430.59

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Solution

The fourth proportional to 564,195.23, 778,642.15 and 322,430.59 is: 444,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,195.23 : 778,642.15 = 322,430.59 : x
  2. Step 2: Convert to fraction form
    564,195.23/778,642.15 = 322,430.59/x
  3. Step 3: Cross multiply
    564,195.23x = 778,642.15 × 322,430.59
  4. Step 4: Simplify right side
    564,195.23x = 251,058,043,930.16
  5. Step 5: Solve for x
    x = 251,058,043,930.16/564,195.23
  6. Step 6: Final answer
    x = 444,984.34

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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.