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Finding the Fourth Proportional to 468,518.64, 702,909.18 and 188,232.72

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Solution

The fourth proportional to 468,518.64, 702,909.18 and 188,232.72 is: 282,401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,518.64 : 702,909.18 = 188,232.72 : x
  2. Step 2: Convert to fraction form
    468,518.64/702,909.18 = 188,232.72/x
  3. Step 3: Cross multiply
    468,518.64x = 702,909.18 × 188,232.72
  4. Step 4: Simplify right side
    468,518.64x = 132,310,506,864.37
  5. Step 5: Solve for x
    x = 132,310,506,864.37/468,518.64
  6. Step 6: Final answer
    x = 282,401.80

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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.