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Finding the Fourth Proportional to 527,706.48, 727,982.04 and 346,345.20

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Solution

The fourth proportional to 527,706.48, 727,982.04 and 346,345.20 is: 477,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,706.48 : 727,982.04 = 346,345.20 : x
  2. Step 2: Convert to fraction form
    527,706.48/727,982.04 = 346,345.20/x
  3. Step 3: Cross multiply
    527,706.48x = 727,982.04 × 346,345.20
  4. Step 4: Simplify right side
    527,706.48x = 252,133,085,240.21
  5. Step 5: Solve for x
    x = 252,133,085,240.21/527,706.48
  6. Step 6: Final answer
    x = 477,790.39

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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.