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Finding the Fourth Proportional to 650,142.40, 973,312.80 and 463,518.40

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Solution

The fourth proportional to 650,142.40, 973,312.80 and 463,518.40 is: 693,922.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,142.40 : 973,312.80 = 463,518.40 : x
  2. Step 2: Convert to fraction form
    650,142.40/973,312.80 = 463,518.40/x
  3. Step 3: Cross multiply
    650,142.40x = 973,312.80 × 463,518.40
  4. Step 4: Simplify right side
    650,142.40x = 451,148,391,755.52
  5. Step 5: Solve for x
    x = 451,148,391,755.52/650,142.40
  6. Step 6: Final answer
    x = 693,922.43

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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.