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Finding the Fourth Proportional to 386,712, 580,095.93 and 161,846.16

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Solution

The fourth proportional to 386,712, 580,095.93 and 161,846.16 is: 242,780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,712 : 580,095.93 = 161,846.16 : x
  2. Step 2: Convert to fraction form
    386,712/580,095.93 = 161,846.16/x
  3. Step 3: Cross multiply
    386,712x = 580,095.93 × 161,846.16
  4. Step 4: Simplify right side
    386,712x = 93,886,298,702.13
  5. Step 5: Solve for x
    x = 93,886,298,702.13/386,712
  6. Step 6: Final answer
    x = 242,780.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.