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Finding the Fourth Proportional to 527,018.09, 727,284.81 and 285,300.48

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Solution

The fourth proportional to 527,018.09, 727,284.81 and 285,300.48 is: 393,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,018.09 : 727,284.81 = 285,300.48 : x
  2. Step 2: Convert to fraction form
    527,018.09/727,284.81 = 285,300.48/x
  3. Step 3: Cross multiply
    527,018.09x = 727,284.81 × 285,300.48
  4. Step 4: Simplify right side
    527,018.09x = 207,494,707,207.92
  5. Step 5: Solve for x
    x = 207,494,707,207.92/527,018.09
  6. Step 6: Final answer
    x = 393,714.58

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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.