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Finding the Fourth Proportional to 750,169.72, 1,035,258.54 and 410,638

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Solution

The fourth proportional to 750,169.72, 1,035,258.54 and 410,638 is: 566,693.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,169.72 : 1,035,258.54 = 410,638 : x
  2. Step 2: Convert to fraction form
    750,169.72/1,035,258.54 = 410,638/x
  3. Step 3: Cross multiply
    750,169.72x = 1,035,258.54 × 410,638
  4. Step 4: Simplify right side
    750,169.72x = 425,116,496,348.52
  5. Step 5: Solve for x
    x = 425,116,496,348.52/750,169.72
  6. Step 6: Final answer
    x = 566,693.76

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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.