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Finding the Fourth Proportional to 546,409.98, 754,050.06 and 304,708.20

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Solution

The fourth proportional to 546,409.98, 754,050.06 and 304,708.20 is: 420,499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,409.98 : 754,050.06 = 304,708.20 : x
  2. Step 2: Convert to fraction form
    546,409.98/754,050.06 = 304,708.20/x
  3. Step 3: Cross multiply
    546,409.98x = 754,050.06 × 304,708.20
  4. Step 4: Simplify right side
    546,409.98x = 229,765,236,492.49
  5. Step 5: Solve for x
    x = 229,765,236,492.49/546,409.98
  6. Step 6: Final answer
    x = 420,499.71

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1.5x scale

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.