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Finding the Fourth Proportional to 657,934.88, 908,094.08 and 416,539.32

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Solution

The fourth proportional to 657,934.88, 908,094.08 and 416,539.32 is: 574,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,934.88 : 908,094.08 = 416,539.32 : x
  2. Step 2: Convert to fraction form
    657,934.88/908,094.08 = 416,539.32/x
  3. Step 3: Cross multiply
    657,934.88x = 908,094.08 × 416,539.32
  4. Step 4: Simplify right side
    657,934.88x = 378,256,890,579.23
  5. Step 5: Solve for x
    x = 378,256,890,579.23/657,934.88
  6. Step 6: Final answer
    x = 574,915.39

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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.