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Finding the Fourth Proportional to 418,896.34, 623,606.32 and 416,405.20

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Solution

The fourth proportional to 418,896.34, 623,606.32 and 416,405.20 is: 619,897.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,896.34 : 623,606.32 = 416,405.20 : x
  2. Step 2: Convert to fraction form
    418,896.34/623,606.32 = 416,405.20/x
  3. Step 3: Cross multiply
    418,896.34x = 623,606.32 × 416,405.20
  4. Step 4: Simplify right side
    418,896.34x = 259,672,914,400.86
  5. Step 5: Solve for x
    x = 259,672,914,400.86/418,896.34
  6. Step 6: Final answer
    x = 619,897.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.