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Finding the Fourth Proportional to 650,138.40, 973,306.80 and 463,514.40

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Solution

The fourth proportional to 650,138.40, 973,306.80 and 463,514.40 is: 693,916.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,138.40 : 973,306.80 = 463,514.40 : x
  2. Step 2: Convert to fraction form
    650,138.40/973,306.80 = 463,514.40/x
  3. Step 3: Cross multiply
    650,138.40x = 973,306.80 × 463,514.40
  4. Step 4: Simplify right side
    650,138.40x = 451,141,717,417.92
  5. Step 5: Solve for x
    x = 451,141,717,417.92/650,138.40
  6. Step 6: Final answer
    x = 693,916.43

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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.