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Finding the Fourth Proportional to 560,566.95, 838,728.19 and 343,654.21

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Solution

The fourth proportional to 560,566.95, 838,728.19 and 343,654.21 is: 514,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,566.95 : 838,728.19 = 343,654.21 : x
  2. Step 2: Convert to fraction form
    560,566.95/838,728.19 = 343,654.21/x
  3. Step 3: Cross multiply
    560,566.95x = 838,728.19 × 343,654.21
  4. Step 4: Simplify right side
    560,566.95x = 288,232,473,539.18
  5. Step 5: Solve for x
    x = 288,232,473,539.18/560,566.95
  6. Step 6: Final answer
    x = 514,180.28

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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.