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Finding the Fourth Proportional to 457,061.16, 630,669.42 and 287,175

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Solution

The fourth proportional to 457,061.16, 630,669.42 and 287,175 is: 396,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,061.16 : 630,669.42 = 287,175 : x
  2. Step 2: Convert to fraction form
    457,061.16/630,669.42 = 287,175/x
  3. Step 3: Cross multiply
    457,061.16x = 630,669.42 × 287,175
  4. Step 4: Simplify right side
    457,061.16x = 181,112,490,688.50
  5. Step 5: Solve for x
    x = 181,112,490,688.50/457,061.16
  6. Step 6: Final answer
    x = 396,254.39

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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.