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Finding the Fourth Proportional to 364,469.12, 546,907.80 and 154,264.40

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Solution

The fourth proportional to 364,469.12, 546,907.80 and 154,264.40 is: 231,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,469.12 : 546,907.80 = 154,264.40 : x
  2. Step 2: Convert to fraction form
    364,469.12/546,907.80 = 154,264.40/x
  3. Step 3: Cross multiply
    364,469.12x = 546,907.80 × 154,264.40
  4. Step 4: Simplify right side
    364,469.12x = 84,368,403,622.32
  5. Step 5: Solve for x
    x = 84,368,403,622.32/364,469.12
  6. Step 6: Final answer
    x = 231,483.00

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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.