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Finding the Fourth Proportional to 527,103.32, 727,403.01 and 285,386.06

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Solution

The fourth proportional to 527,103.32, 727,403.01 and 285,386.06 is: 393,832.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,103.32 : 727,403.01 = 285,386.06 : x
  2. Step 2: Convert to fraction form
    527,103.32/727,403.01 = 285,386.06/x
  3. Step 3: Cross multiply
    527,103.32x = 727,403.01 × 285,386.06
  4. Step 4: Simplify right side
    527,103.32x = 207,590,679,056.04
  5. Step 5: Solve for x
    x = 207,590,679,056.04/527,103.32
  6. Step 6: Final answer
    x = 393,832.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.