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Finding the Fourth Proportional to 298,302.68, 411,657.69 and 164,166.68

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Solution

The fourth proportional to 298,302.68, 411,657.69 and 164,166.68 is: 226,550.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,302.68 : 411,657.69 = 164,166.68 : x
  2. Step 2: Convert to fraction form
    298,302.68/411,657.69 = 164,166.68/x
  3. Step 3: Cross multiply
    298,302.68x = 411,657.69 × 164,166.68
  4. Step 4: Simplify right side
    298,302.68x = 67,580,476,263.77
  5. Step 5: Solve for x
    x = 67,580,476,263.77/298,302.68
  6. Step 6: Final answer
    x = 226,550.01

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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.