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Finding the Fourth Proportional to 486,166.40, 729,244.80 and 153,742.40

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Solution

The fourth proportional to 486,166.40, 729,244.80 and 153,742.40 is: 230,612.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,166.40 : 729,244.80 = 153,742.40 : x
  2. Step 2: Convert to fraction form
    486,166.40/729,244.80 = 153,742.40/x
  3. Step 3: Cross multiply
    486,166.40x = 729,244.80 × 153,742.40
  4. Step 4: Simplify right side
    486,166.40x = 112,115,845,739.52
  5. Step 5: Solve for x
    x = 112,115,845,739.52/486,166.40
  6. Step 6: Final answer
    x = 230,612.08

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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.