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Finding the Fourth Proportional to 468,050.56, 702,148.70 and 152,434.04

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Solution

The fourth proportional to 468,050.56, 702,148.70 and 152,434.04 is: 228,674.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,050.56 : 702,148.70 = 152,434.04 : x
  2. Step 2: Convert to fraction form
    468,050.56/702,148.70 = 152,434.04/x
  3. Step 3: Cross multiply
    468,050.56x = 702,148.70 × 152,434.04
  4. Step 4: Simplify right side
    468,050.56x = 107,031,363,021.75
  5. Step 5: Solve for x
    x = 107,031,363,021.75/468,050.56
  6. Step 6: Final answer
    x = 228,674.79

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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.