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Finding the Fourth Proportional to 635,412.50, 877,066.08 and 409,058

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Solution

The fourth proportional to 635,412.50, 877,066.08 and 409,058 is: 564,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,412.50 : 877,066.08 = 409,058 : x
  2. Step 2: Convert to fraction form
    635,412.50/877,066.08 = 409,058/x
  3. Step 3: Cross multiply
    635,412.50x = 877,066.08 × 409,058
  4. Step 4: Simplify right side
    635,412.50x = 358,770,896,552.64
  5. Step 5: Solve for x
    x = 358,770,896,552.64/635,412.50
  6. Step 6: Final answer
    x = 564,626.75

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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.