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Finding the Fourth Proportional to 465,710.46, 698,068.35 and 265,599.96

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Solution

The fourth proportional to 465,710.46, 698,068.35 and 265,599.96 is: 398,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,710.46 : 698,068.35 = 265,599.96 : x
  2. Step 2: Convert to fraction form
    465,710.46/698,068.35 = 265,599.96/x
  3. Step 3: Cross multiply
    465,710.46x = 698,068.35 × 265,599.96
  4. Step 4: Simplify right side
    465,710.46x = 185,406,925,837.27
  5. Step 5: Solve for x
    x = 185,406,925,837.27/465,710.46
  6. Step 6: Final answer
    x = 398,116.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.