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Finding the Fourth Proportional to 648,385.60, 971,995.20 and 411,606.40

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Solution

The fourth proportional to 648,385.60, 971,995.20 and 411,606.40 is: 617,039.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,385.60 : 971,995.20 = 411,606.40 : x
  2. Step 2: Convert to fraction form
    648,385.60/971,995.20 = 411,606.40/x
  3. Step 3: Cross multiply
    648,385.60x = 971,995.20 × 411,606.40
  4. Step 4: Simplify right side
    648,385.60x = 400,079,445,089.28
  5. Step 5: Solve for x
    x = 400,079,445,089.28/648,385.60
  6. Step 6: Final answer
    x = 617,039.37

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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.