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Finding the Fourth Proportional to 302,411.16, 417,256.20 and 254,196.36

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Solution

The fourth proportional to 302,411.16, 417,256.20 and 254,196.36 is: 350,731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,411.16 : 417,256.20 = 254,196.36 : x
  2. Step 2: Convert to fraction form
    302,411.16/417,256.20 = 254,196.36/x
  3. Step 3: Cross multiply
    302,411.16x = 417,256.20 × 254,196.36
  4. Step 4: Simplify right side
    302,411.16x = 106,065,007,227.43
  5. Step 5: Solve for x
    x = 106,065,007,227.43/302,411.16
  6. Step 6: Final answer
    x = 350,731.13

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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.