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Finding the Fourth Proportional to 468,420.54, 702,742.77 and 152,878.02

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Solution

The fourth proportional to 468,420.54, 702,742.77 and 152,878.02 is: 229,353.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,420.54 : 702,742.77 = 152,878.02 : x
  2. Step 2: Convert to fraction form
    468,420.54/702,742.77 = 152,878.02/x
  3. Step 3: Cross multiply
    468,420.54x = 702,742.77 × 152,878.02
  4. Step 4: Simplify right side
    468,420.54x = 107,433,923,246.92
  5. Step 5: Solve for x
    x = 107,433,923,246.92/468,420.54
  6. Step 6: Final answer
    x = 229,353.57

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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.