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Finding the Fourth Proportional to 523,484.82, 785,460.51 and 274,108.50

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Solution

The fourth proportional to 523,484.82, 785,460.51 and 274,108.50 is: 411,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,484.82 : 785,460.51 = 274,108.50 : x
  2. Step 2: Convert to fraction form
    523,484.82/785,460.51 = 274,108.50/x
  3. Step 3: Cross multiply
    523,484.82x = 785,460.51 × 274,108.50
  4. Step 4: Simplify right side
    523,484.82x = 215,301,402,205.34
  5. Step 5: Solve for x
    x = 215,301,402,205.34/523,484.82
  6. Step 6: Final answer
    x = 411,284.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.