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Finding the Fourth Proportional to 473,116.20, 709,674.30 and 465,340.20

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Solution

The fourth proportional to 473,116.20, 709,674.30 and 465,340.20 is: 698,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,116.20 : 709,674.30 = 465,340.20 : x
  2. Step 2: Convert to fraction form
    473,116.20/709,674.30 = 465,340.20/x
  3. Step 3: Cross multiply
    473,116.20x = 709,674.30 × 465,340.20
  4. Step 4: Simplify right side
    473,116.20x = 330,239,980,696.86
  5. Step 5: Solve for x
    x = 330,239,980,696.86/473,116.20
  6. Step 6: Final answer
    x = 698,010.30

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