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Finding the Fourth Proportional to 406,036.24, 609,051 and 317,364.28

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Solution

The fourth proportional to 406,036.24, 609,051 and 317,364.28 is: 476,043.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,036.24 : 609,051 = 317,364.28 : x
  2. Step 2: Convert to fraction form
    406,036.24/609,051 = 317,364.28/x
  3. Step 3: Cross multiply
    406,036.24x = 609,051 × 317,364.28
  4. Step 4: Simplify right side
    406,036.24x = 193,291,032,098.28
  5. Step 5: Solve for x
    x = 193,291,032,098.28/406,036.24
  6. Step 6: Final answer
    x = 476,043.79

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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.