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Finding the Fourth Proportional to 465,345.20, 698,017.80 and 434,010.80

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Solution

The fourth proportional to 465,345.20, 698,017.80 and 434,010.80 is: 651,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,345.20 : 698,017.80 = 434,010.80 : x
  2. Step 2: Convert to fraction form
    465,345.20/698,017.80 = 434,010.80/x
  3. Step 3: Cross multiply
    465,345.20x = 698,017.80 × 434,010.80
  4. Step 4: Simplify right side
    465,345.20x = 302,947,263,792.24
  5. Step 5: Solve for x
    x = 302,947,263,792.24/465,345.20
  6. Step 6: Final answer
    x = 651,016.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.