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Finding the Fourth Proportional to 302,312.75, 417,192 and 168,176.75

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Solution

The fourth proportional to 302,312.75, 417,192 and 168,176.75 is: 232,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,312.75 : 417,192 = 168,176.75 : x
  2. Step 2: Convert to fraction form
    302,312.75/417,192 = 168,176.75/x
  3. Step 3: Cross multiply
    302,312.75x = 417,192 × 168,176.75
  4. Step 4: Simplify right side
    302,312.75x = 70,161,994,686
  5. Step 5: Solve for x
    x = 70,161,994,686/302,312.75
  6. Step 6: Final answer
    x = 232,084.14

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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.