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Finding the Fourth Proportional to 341,763.10, 512,644.65 and 152,223.10

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Solution

The fourth proportional to 341,763.10, 512,644.65 and 152,223.10 is: 228,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,763.10 : 512,644.65 = 152,223.10 : x
  2. Step 2: Convert to fraction form
    341,763.10/512,644.65 = 152,223.10/x
  3. Step 3: Cross multiply
    341,763.10x = 512,644.65 × 152,223.10
  4. Step 4: Simplify right side
    341,763.10x = 78,036,357,821.42
  5. Step 5: Solve for x
    x = 78,036,357,821.42/341,763.10
  6. Step 6: Final answer
    x = 228,334.65

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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.