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Finding the Fourth Proportional to 527,999.64, 728,635.08 and 298,602

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Solution

The fourth proportional to 527,999.64, 728,635.08 and 298,602 is: 412,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,999.64 : 728,635.08 = 298,602 : x
  2. Step 2: Convert to fraction form
    527,999.64/728,635.08 = 298,602/x
  3. Step 3: Cross multiply
    527,999.64x = 728,635.08 × 298,602
  4. Step 4: Simplify right side
    527,999.64x = 217,571,892,158.16
  5. Step 5: Solve for x
    x = 217,571,892,158.16/527,999.64
  6. Step 6: Final answer
    x = 412,068.26

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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.