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Finding the Fourth Proportional to 523,726.47, 785,030.49 and 298,602.09

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Solution

The fourth proportional to 523,726.47, 785,030.49 and 298,602.09 is: 447,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,726.47 : 785,030.49 = 298,602.09 : x
  2. Step 2: Convert to fraction form
    523,726.47/785,030.49 = 298,602.09/x
  3. Step 3: Cross multiply
    523,726.47x = 785,030.49 × 298,602.09
  4. Step 4: Simplify right side
    523,726.47x = 234,411,745,027.72
  5. Step 5: Solve for x
    x = 234,411,745,027.72/523,726.47
  6. Step 6: Final answer
    x = 447,584.30

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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.