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Finding the Fourth Proportional to 529,935.40, 794,384.70 and 213,970.60

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Solution

The fourth proportional to 529,935.40, 794,384.70 and 213,970.60 is: 320,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,935.40 : 794,384.70 = 213,970.60 : x
  2. Step 2: Convert to fraction form
    529,935.40/794,384.70 = 213,970.60/x
  3. Step 3: Cross multiply
    529,935.40x = 794,384.70 × 213,970.60
  4. Step 4: Simplify right side
    529,935.40x = 169,974,970,889.82
  5. Step 5: Solve for x
    x = 169,974,970,889.82/529,935.40
  6. Step 6: Final answer
    x = 320,746.59

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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.