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Finding the Fourth Proportional to 527,518.68, 727,975.92 and 285,802.92

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Solution

The fourth proportional to 527,518.68, 727,975.92 and 285,802.92 is: 394,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,518.68 : 727,975.92 = 285,802.92 : x
  2. Step 2: Convert to fraction form
    527,518.68/727,975.92 = 285,802.92/x
  3. Step 3: Cross multiply
    527,518.68x = 727,975.92 × 285,802.92
  4. Step 4: Simplify right side
    527,518.68x = 208,057,643,625.69
  5. Step 5: Solve for x
    x = 208,057,643,625.69/527,518.68
  6. Step 6: Final answer
    x = 394,408.11

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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.