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Finding the Fourth Proportional to 538,907.20, 807,842.40 and 418,897.60

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Solution

The fourth proportional to 538,907.20, 807,842.40 and 418,897.60 is: 627,943.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,907.20 : 807,842.40 = 418,897.60 : x
  2. Step 2: Convert to fraction form
    538,907.20/807,842.40 = 418,897.60/x
  3. Step 3: Cross multiply
    538,907.20x = 807,842.40 × 418,897.60
  4. Step 4: Simplify right side
    538,907.20x = 338,403,242,538.24
  5. Step 5: Solve for x
    x = 338,403,242,538.24/538,907.20
  6. Step 6: Final answer
    x = 627,943.44

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1.5x scale

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.