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Finding the Fourth Proportional to 476,532.16, 714,588.32 and 223,884.48

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Solution

The fourth proportional to 476,532.16, 714,588.32 and 223,884.48 is: 335,728.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,532.16 : 714,588.32 = 223,884.48 : x
  2. Step 2: Convert to fraction form
    476,532.16/714,588.32 = 223,884.48/x
  3. Step 3: Cross multiply
    476,532.16x = 714,588.32 × 223,884.48
  4. Step 4: Simplify right side
    476,532.16x = 159,985,234,437.27
  5. Step 5: Solve for x
    x = 159,985,234,437.27/476,532.16
  6. Step 6: Final answer
    x = 335,728.10

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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.