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Finding the Fourth Proportional to 382,048.95, 527,232.34 and 209,985.72

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Solution

The fourth proportional to 382,048.95, 527,232.34 and 209,985.72 is: 289,782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,048.95 : 527,232.34 = 209,985.72 : x
  2. Step 2: Convert to fraction form
    382,048.95/527,232.34 = 209,985.72/x
  3. Step 3: Cross multiply
    382,048.95x = 527,232.34 × 209,985.72
  4. Step 4: Simplify right side
    382,048.95x = 110,711,260,807.55
  5. Step 5: Solve for x
    x = 110,711,260,807.55/382,048.95
  6. Step 6: Final answer
    x = 289,782.92

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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.