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Finding the Fourth Proportional to 298,262.93, 411,609.87 and 169,210.10

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Solution

The fourth proportional to 298,262.93, 411,609.87 and 169,210.10 is: 233,513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,262.93 : 411,609.87 = 169,210.10 : x
  2. Step 2: Convert to fraction form
    298,262.93/411,609.87 = 169,210.10/x
  3. Step 3: Cross multiply
    298,262.93x = 411,609.87 × 169,210.10
  4. Step 4: Simplify right side
    298,262.93x = 69,648,548,292.71
  5. Step 5: Solve for x
    x = 69,648,548,292.71/298,262.93
  6. Step 6: Final answer
    x = 233,513.93

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1.5x scale

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.