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Finding the Fourth Proportional to 527,117.18, 727,420.62 and 285,399.98

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Solution

The fourth proportional to 527,117.18, 727,420.62 and 285,399.98 is: 393,851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,117.18 : 727,420.62 = 285,399.98 : x
  2. Step 2: Convert to fraction form
    527,117.18/727,420.62 = 285,399.98/x
  3. Step 3: Cross multiply
    527,117.18x = 727,420.62 × 285,399.98
  4. Step 4: Simplify right side
    527,117.18x = 207,605,830,399.59
  5. Step 5: Solve for x
    x = 207,605,830,399.59/527,117.18
  6. Step 6: Final answer
    x = 393,851.38

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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.