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Finding the Fourth Proportional to 411,465.80, 567,803.04 and 258,583.16

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Solution

The fourth proportional to 411,465.80, 567,803.04 and 258,583.16 is: 356,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,465.80 : 567,803.04 = 258,583.16 : x
  2. Step 2: Convert to fraction form
    411,465.80/567,803.04 = 258,583.16/x
  3. Step 3: Cross multiply
    411,465.80x = 567,803.04 × 258,583.16
  4. Step 4: Simplify right side
    411,465.80x = 146,824,304,340.81
  5. Step 5: Solve for x
    x = 146,824,304,340.81/411,465.80
  6. Step 6: Final answer
    x = 356,832.34

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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.