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Finding the Fourth Proportional to 486,051.92, 729,077.88 and 153,602

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Solution

The fourth proportional to 486,051.92, 729,077.88 and 153,602 is: 230,403

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,051.92 : 729,077.88 = 153,602 : x
  2. Step 2: Convert to fraction form
    486,051.92/729,077.88 = 153,602/x
  3. Step 3: Cross multiply
    486,051.92x = 729,077.88 × 153,602
  4. Step 4: Simplify right side
    486,051.92x = 111,987,820,523.76
  5. Step 5: Solve for x
    x = 111,987,820,523.76/486,051.92
  6. Step 6: Final answer
    x = 230,403

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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.