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Finding the Fourth Proportional to 527,513.40, 727,967.52 and 285,802.11

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Solution

The fourth proportional to 527,513.40, 727,967.52 and 285,802.11 is: 394,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,513.40 : 727,967.52 = 285,802.11 : x
  2. Step 2: Convert to fraction form
    527,513.40/727,967.52 = 285,802.11/x
  3. Step 3: Cross multiply
    527,513.40x = 727,967.52 × 285,802.11
  4. Step 4: Simplify right side
    527,513.40x = 208,054,653,227.47
  5. Step 5: Solve for x
    x = 208,054,653,227.47/527,513.40
  6. Step 6: Final answer
    x = 394,406.39

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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.