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Finding the Fourth Proportional to 527,021.40, 727,289.38 and 285,303.80

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Solution

The fourth proportional to 527,021.40, 727,289.38 and 285,303.80 is: 393,719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,021.40 : 727,289.38 = 285,303.80 : x
  2. Step 2: Convert to fraction form
    527,021.40/727,289.38 = 285,303.80/x
  3. Step 3: Cross multiply
    527,021.40x = 727,289.38 × 285,303.80
  4. Step 4: Simplify right side
    527,021.40x = 207,498,423,813.64
  5. Step 5: Solve for x
    x = 207,498,423,813.64/527,021.40
  6. Step 6: Final answer
    x = 393,719.16

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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.