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Finding the Fourth Proportional to 498,011.84, 687,313.68 and 277,271.36

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Solution

The fourth proportional to 498,011.84, 687,313.68 and 277,271.36 is: 382,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,011.84 : 687,313.68 = 277,271.36 : x
  2. Step 2: Convert to fraction form
    498,011.84/687,313.68 = 277,271.36/x
  3. Step 3: Cross multiply
    498,011.84x = 687,313.68 × 277,271.36
  4. Step 4: Simplify right side
    498,011.84x = 190,572,398,800.21
  5. Step 5: Solve for x
    x = 190,572,398,800.21/498,011.84
  6. Step 6: Final answer
    x = 382,666.40

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Why These Related Problems?

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