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Finding the Fourth Proportional to 465,683.09, 698,027.29 and 265,572.59

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Solution

The fourth proportional to 465,683.09, 698,027.29 and 265,572.59 is: 398,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,683.09 : 698,027.29 = 265,572.59 : x
  2. Step 2: Convert to fraction form
    465,683.09/698,027.29 = 265,572.59/x
  3. Step 3: Cross multiply
    465,683.09x = 698,027.29 × 265,572.59
  4. Step 4: Simplify right side
    465,683.09x = 185,376,911,141.91
  5. Step 5: Solve for x
    x = 185,376,911,141.91/465,683.09
  6. Step 6: Final answer
    x = 398,075.25

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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.