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Finding the Fourth Proportional to 557,614.32, 769,514.76 and 302,969.76

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Solution

The fourth proportional to 557,614.32, 769,514.76 and 302,969.76 is: 418,102.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,614.32 : 769,514.76 = 302,969.76 : x
  2. Step 2: Convert to fraction form
    557,614.32/769,514.76 = 302,969.76/x
  3. Step 3: Cross multiply
    557,614.32x = 769,514.76 × 302,969.76
  4. Step 4: Simplify right side
    557,614.32x = 233,139,702,153.66
  5. Step 5: Solve for x
    x = 233,139,702,153.66/557,614.32
  6. Step 6: Final answer
    x = 418,102.07

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1.5x scale

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.