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Finding the Fourth Proportional to 302,472, 417,411.36 and 168,367.68

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Solution

The fourth proportional to 302,472, 417,411.36 and 168,367.68 is: 232,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,472 : 417,411.36 = 168,367.68 : x
  2. Step 2: Convert to fraction form
    302,472/417,411.36 = 168,367.68/x
  3. Step 3: Cross multiply
    302,472x = 417,411.36 × 168,367.68
  4. Step 4: Simplify right side
    302,472x = 70,278,582,288.84
  5. Step 5: Solve for x
    x = 70,278,582,288.84/302,472
  6. Step 6: Final answer
    x = 232,347.40

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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.