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Finding the Fourth Proportional to 534,713.91, 802,030.50 and 155,637.60

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Solution

The fourth proportional to 534,713.91, 802,030.50 and 155,637.60 is: 233,444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,713.91 : 802,030.50 = 155,637.60 : x
  2. Step 2: Convert to fraction form
    534,713.91/802,030.50 = 155,637.60/x
  3. Step 3: Cross multiply
    534,713.91x = 802,030.50 × 155,637.60
  4. Step 4: Simplify right side
    534,713.91x = 124,826,102,146.80
  5. Step 5: Solve for x
    x = 124,826,102,146.80/534,713.91
  6. Step 6: Final answer
    x = 233,444.65

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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.