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Finding the Fourth Proportional to 523,344.71, 785,174.67 and 163,501.03

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Solution

The fourth proportional to 523,344.71, 785,174.67 and 163,501.03 is: 245,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,344.71 : 785,174.67 = 163,501.03 : x
  2. Step 2: Convert to fraction form
    523,344.71/785,174.67 = 163,501.03/x
  3. Step 3: Cross multiply
    523,344.71x = 785,174.67 × 163,501.03
  4. Step 4: Simplify right side
    523,344.71x = 128,376,868,256.38
  5. Step 5: Solve for x
    x = 128,376,868,256.38/523,344.71
  6. Step 6: Final answer
    x = 245,300.78

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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.