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Finding the Fourth Proportional to 506,848.64, 698,304.08 and 416,060.82

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Solution

The fourth proportional to 506,848.64, 698,304.08 and 416,060.82 is: 573,222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,848.64 : 698,304.08 = 416,060.82 : x
  2. Step 2: Convert to fraction form
    506,848.64/698,304.08 = 416,060.82/x
  3. Step 3: Cross multiply
    506,848.64x = 698,304.08 × 416,060.82
  4. Step 4: Simplify right side
    506,848.64x = 290,536,969,174.30
  5. Step 5: Solve for x
    x = 290,536,969,174.30/506,848.64
  6. Step 6: Final answer
    x = 573,222.36

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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.