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Finding the Fourth Proportional to 556,807.41, 768,396.24 and 302,158.53

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Solution

The fourth proportional to 556,807.41, 768,396.24 and 302,158.53 is: 416,979.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,807.41 : 768,396.24 = 302,158.53 : x
  2. Step 2: Convert to fraction form
    556,807.41/768,396.24 = 302,158.53/x
  3. Step 3: Cross multiply
    556,807.41x = 768,396.24 × 302,158.53
  4. Step 4: Simplify right side
    556,807.41x = 232,177,478,335.93
  5. Step 5: Solve for x
    x = 232,177,478,335.93/556,807.41
  6. Step 6: Final answer
    x = 416,979.86

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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.