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Finding the Fourth Proportional to 523,830.84, 785,751.20 and 287,044.24

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Solution

The fourth proportional to 523,830.84, 785,751.20 and 287,044.24 is: 430,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,830.84 : 785,751.20 = 287,044.24 : x
  2. Step 2: Convert to fraction form
    523,830.84/785,751.20 = 287,044.24/x
  3. Step 3: Cross multiply
    523,830.84x = 785,751.20 × 287,044.24
  4. Step 4: Simplify right side
    523,830.84x = 225,545,356,033.09
  5. Step 5: Solve for x
    x = 225,545,356,033.09/523,830.84
  6. Step 6: Final answer
    x = 430,569.07

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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.