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Finding the Fourth Proportional to 457,022.16, 630,615.48 and 287,136

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Solution

The fourth proportional to 457,022.16, 630,615.48 and 287,136 is: 396,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,022.16 : 630,615.48 = 287,136 : x
  2. Step 2: Convert to fraction form
    457,022.16/630,615.48 = 287,136/x
  3. Step 3: Cross multiply
    457,022.16x = 630,615.48 × 287,136
  4. Step 4: Simplify right side
    457,022.16x = 181,072,406,465.28
  5. Step 5: Solve for x
    x = 181,072,406,465.28/457,022.16
  6. Step 6: Final answer
    x = 396,200.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.