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Finding the Fourth Proportional to 523,713.04, 785,568.51 and 144,632.80

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Solution

The fourth proportional to 523,713.04, 785,568.51 and 144,632.80 is: 216,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,713.04 : 785,568.51 = 144,632.80 : x
  2. Step 2: Convert to fraction form
    523,713.04/785,568.51 = 144,632.80/x
  3. Step 3: Cross multiply
    523,713.04x = 785,568.51 × 144,632.80
  4. Step 4: Simplify right side
    523,713.04x = 113,618,973,193.13
  5. Step 5: Solve for x
    x = 113,618,973,193.13/523,713.04
  6. Step 6: Final answer
    x = 216,948.91

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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.