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Finding the Fourth Proportional to 631,566.80, 871,948.32 and 411,014.24

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Solution

The fourth proportional to 631,566.80, 871,948.32 and 411,014.24 is: 567,450.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,566.80 : 871,948.32 = 411,014.24 : x
  2. Step 2: Convert to fraction form
    631,566.80/871,948.32 = 411,014.24/x
  3. Step 3: Cross multiply
    631,566.80x = 871,948.32 × 411,014.24
  4. Step 4: Simplify right side
    631,566.80x = 358,383,176,064.08
  5. Step 5: Solve for x
    x = 358,383,176,064.08/631,566.80
  6. Step 6: Final answer
    x = 567,450.94

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Double scale
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1.5x scale

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.