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Finding the Fourth Proportional to 407,352.81, 610,883.40 and 141,041.82

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Solution

The fourth proportional to 407,352.81, 610,883.40 and 141,041.82 is: 211,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,352.81 : 610,883.40 = 141,041.82 : x
  2. Step 2: Convert to fraction form
    407,352.81/610,883.40 = 141,041.82/x
  3. Step 3: Cross multiply
    407,352.81x = 610,883.40 × 141,041.82
  4. Step 4: Simplify right side
    407,352.81x = 86,160,106,543.79
  5. Step 5: Solve for x
    x = 86,160,106,543.79/407,352.81
  6. Step 6: Final answer
    x = 211,512.24

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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.