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Finding the Fourth Proportional to 411,211.20, 567,445.20 and 229,938.06

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Solution

The fourth proportional to 411,211.20, 567,445.20 and 229,938.06 is: 317,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,211.20 : 567,445.20 = 229,938.06 : x
  2. Step 2: Convert to fraction form
    411,211.20/567,445.20 = 229,938.06/x
  3. Step 3: Cross multiply
    411,211.20x = 567,445.20 × 229,938.06
  4. Step 4: Simplify right side
    411,211.20x = 130,477,248,444.31
  5. Step 5: Solve for x
    x = 130,477,248,444.31/411,211.20
  6. Step 6: Final answer
    x = 317,299.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.