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Finding the Fourth Proportional to 524,111.40, 785,000.70 and 274,501.80

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Solution

The fourth proportional to 524,111.40, 785,000.70 and 274,501.80 is: 411,141.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,111.40 : 785,000.70 = 274,501.80 : x
  2. Step 2: Convert to fraction form
    524,111.40/785,000.70 = 274,501.80/x
  3. Step 3: Cross multiply
    524,111.40x = 785,000.70 × 274,501.80
  4. Step 4: Simplify right side
    524,111.40x = 215,484,105,151.26
  5. Step 5: Solve for x
    x = 215,484,105,151.26/524,111.40
  6. Step 6: Final answer
    x = 411,141.80

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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.