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Finding the Fourth Proportional to 472,520.45, 708,783.24 and 117,534.48

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Solution

The fourth proportional to 472,520.45, 708,783.24 and 117,534.48 is: 176,302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,520.45 : 708,783.24 = 117,534.48 : x
  2. Step 2: Convert to fraction form
    472,520.45/708,783.24 = 117,534.48/x
  3. Step 3: Cross multiply
    472,520.45x = 708,783.24 × 117,534.48
  4. Step 4: Simplify right side
    472,520.45x = 83,306,467,328.93
  5. Step 5: Solve for x
    x = 83,306,467,328.93/472,520.45
  6. Step 6: Final answer
    x = 176,302.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.