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Finding the Fourth Proportional to 476,702.19, 714,445.13 and 223,423.90

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Solution

The fourth proportional to 476,702.19, 714,445.13 and 223,423.90 is: 334,850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,702.19 : 714,445.13 = 223,423.90 : x
  2. Step 2: Convert to fraction form
    476,702.19/714,445.13 = 223,423.90/x
  3. Step 3: Cross multiply
    476,702.19x = 714,445.13 × 223,423.90
  4. Step 4: Simplify right side
    476,702.19x = 159,624,116,053.05
  5. Step 5: Solve for x
    x = 159,624,116,053.05/476,702.19
  6. Step 6: Final answer
    x = 334,850.81

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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.