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Finding the Fourth Proportional to 468,114.48, 702,191.16 and 152,574.12

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Solution

The fourth proportional to 468,114.48, 702,191.16 and 152,574.12 is: 228,867.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,114.48 : 702,191.16 = 152,574.12 : x
  2. Step 2: Convert to fraction form
    468,114.48/702,191.16 = 152,574.12/x
  3. Step 3: Cross multiply
    468,114.48x = 702,191.16 × 152,574.12
  4. Step 4: Simplify right side
    468,114.48x = 107,136,198,308.78
  5. Step 5: Solve for x
    x = 107,136,198,308.78/468,114.48
  6. Step 6: Final answer
    x = 228,867.52

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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.