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Finding the Fourth Proportional to 523,547.44, 785,360.95 and 203,561.83

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Solution

The fourth proportional to 523,547.44, 785,360.95 and 203,561.83 is: 305,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,547.44 : 785,360.95 = 203,561.83 : x
  2. Step 2: Convert to fraction form
    523,547.44/785,360.95 = 203,561.83/x
  3. Step 3: Cross multiply
    523,547.44x = 785,360.95 × 203,561.83
  4. Step 4: Simplify right side
    523,547.44x = 159,869,512,192.54
  5. Step 5: Solve for x
    x = 159,869,512,192.54/523,547.44
  6. Step 6: Final answer
    x = 305,358.22

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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.