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Finding the Fourth Proportional to 406,291.14, 605,146.95 and 384,953.31

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Solution

The fourth proportional to 406,291.14, 605,146.95 and 384,953.31 is: 573,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,291.14 : 605,146.95 = 384,953.31 : x
  2. Step 2: Convert to fraction form
    406,291.14/605,146.95 = 384,953.31/x
  3. Step 3: Cross multiply
    406,291.14x = 605,146.95 × 384,953.31
  4. Step 4: Simplify right side
    406,291.14x = 232,953,321,438.90
  5. Step 5: Solve for x
    x = 232,953,321,438.90/406,291.14
  6. Step 6: Final answer
    x = 573,365.50

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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.