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Finding the Fourth Proportional to 298,475.89, 411,875.96 and 169,417.04

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Solution

The fourth proportional to 298,475.89, 411,875.96 and 169,417.04 is: 233,783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,475.89 : 411,875.96 = 169,417.04 : x
  2. Step 2: Convert to fraction form
    298,475.89/411,875.96 = 169,417.04/x
  3. Step 3: Cross multiply
    298,475.89x = 411,875.96 × 169,417.04
  4. Step 4: Simplify right side
    298,475.89x = 69,778,803,083.89
  5. Step 5: Solve for x
    x = 69,778,803,083.89/298,475.89
  6. Step 6: Final answer
    x = 233,783.72

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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.