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Finding the Fourth Proportional to 389,270.47, 537,192.51 and 217,178.20

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Solution

The fourth proportional to 389,270.47, 537,192.51 and 217,178.20 is: 299,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,270.47 : 537,192.51 = 217,178.20 : x
  2. Step 2: Convert to fraction form
    389,270.47/537,192.51 = 217,178.20/x
  3. Step 3: Cross multiply
    389,270.47x = 537,192.51 × 217,178.20
  4. Step 4: Simplify right side
    389,270.47x = 116,666,501,657.82
  5. Step 5: Solve for x
    x = 116,666,501,657.82/389,270.47
  6. Step 6: Final answer
    x = 299,705.50

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