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Finding the Fourth Proportional to 482,048.74, 663,712.81 and 409,300.01

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Solution

The fourth proportional to 482,048.74, 663,712.81 and 409,300.01 is: 563,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,048.74 : 663,712.81 = 409,300.01 : x
  2. Step 2: Convert to fraction form
    482,048.74/663,712.81 = 409,300.01/x
  3. Step 3: Cross multiply
    482,048.74x = 663,712.81 × 409,300.01
  4. Step 4: Simplify right side
    482,048.74x = 271,657,660,935.09
  5. Step 5: Solve for x
    x = 271,657,660,935.09/482,048.74
  6. Step 6: Final answer
    x = 563,548.11

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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.