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Finding the Fourth Proportional to 417,038.41, 575,512.45 and 226,051.75

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Solution

The fourth proportional to 417,038.41, 575,512.45 and 226,051.75 is: 311,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,038.41 : 575,512.45 = 226,051.75 : x
  2. Step 2: Convert to fraction form
    417,038.41/575,512.45 = 226,051.75/x
  3. Step 3: Cross multiply
    417,038.41x = 575,512.45 × 226,051.75
  4. Step 4: Simplify right side
    417,038.41x = 130,095,596,469.29
  5. Step 5: Solve for x
    x = 130,095,596,469.29/417,038.41
  6. Step 6: Final answer
    x = 311,951.11

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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.