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Finding the Fourth Proportional to 390,969.84, 586,527.96 and 177,753.36

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Solution

The fourth proportional to 390,969.84, 586,527.96 and 177,753.36 is: 266,663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,969.84 : 586,527.96 = 177,753.36 : x
  2. Step 2: Convert to fraction form
    390,969.84/586,527.96 = 177,753.36/x
  3. Step 3: Cross multiply
    390,969.84x = 586,527.96 × 177,753.36
  4. Step 4: Simplify right side
    390,969.84x = 104,257,315,623.95
  5. Step 5: Solve for x
    x = 104,257,315,623.95/390,969.84
  6. Step 6: Final answer
    x = 266,663.32

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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.