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Finding the Fourth Proportional to 278,005.80, 417,008.70 and 265,871.40

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Solution

The fourth proportional to 278,005.80, 417,008.70 and 265,871.40 is: 398,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,005.80 : 417,008.70 = 265,871.40 : x
  2. Step 2: Convert to fraction form
    278,005.80/417,008.70 = 265,871.40/x
  3. Step 3: Cross multiply
    278,005.80x = 417,008.70 × 265,871.40
  4. Step 4: Simplify right side
    278,005.80x = 110,870,686,881.18
  5. Step 5: Solve for x
    x = 110,870,686,881.18/278,005.80
  6. Step 6: Final answer
    x = 398,807.10

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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.