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Finding the Fourth Proportional to 466,726.32, 644,095.35 and 285,435

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Solution

The fourth proportional to 466,726.32, 644,095.35 and 285,435 is: 393,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,726.32 : 644,095.35 = 285,435 : x
  2. Step 2: Convert to fraction form
    466,726.32/644,095.35 = 285,435/x
  3. Step 3: Cross multiply
    466,726.32x = 644,095.35 × 285,435
  4. Step 4: Simplify right side
    466,726.32x = 183,847,356,227.25
  5. Step 5: Solve for x
    x = 183,847,356,227.25/466,726.32
  6. Step 6: Final answer
    x = 393,908.27

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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.