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Finding the Fourth Proportional to 406,030.85, 609,043.55 and 317,358.94

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Solution

The fourth proportional to 406,030.85, 609,043.55 and 317,358.94 is: 476,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,030.85 : 609,043.55 = 317,358.94 : x
  2. Step 2: Convert to fraction form
    406,030.85/609,043.55 = 317,358.94/x
  3. Step 3: Cross multiply
    406,030.85x = 609,043.55 × 317,358.94
  4. Step 4: Simplify right side
    406,030.85x = 193,285,412,332.43
  5. Step 5: Solve for x
    x = 193,285,412,332.43/406,030.85
  6. Step 6: Final answer
    x = 476,036.27

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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.