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Finding the Fourth Proportional to 569,027.61, 785,266.38 and 314,384.67

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Solution

The fourth proportional to 569,027.61, 785,266.38 and 314,384.67 is: 433,855.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,027.61 : 785,266.38 = 314,384.67 : x
  2. Step 2: Convert to fraction form
    569,027.61/785,266.38 = 314,384.67/x
  3. Step 3: Cross multiply
    569,027.61x = 785,266.38 × 314,384.67
  4. Step 4: Simplify right side
    569,027.61x = 246,875,711,738.40
  5. Step 5: Solve for x
    x = 246,875,711,738.40/569,027.61
  6. Step 6: Final answer
    x = 433,855.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.