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Finding the Fourth Proportional to 580,223.80, 870,335.70 and 367,647.40

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Solution

The fourth proportional to 580,223.80, 870,335.70 and 367,647.40 is: 551,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,223.80 : 870,335.70 = 367,647.40 : x
  2. Step 2: Convert to fraction form
    580,223.80/870,335.70 = 367,647.40/x
  3. Step 3: Cross multiply
    580,223.80x = 870,335.70 × 367,647.40
  4. Step 4: Simplify right side
    580,223.80x = 319,976,657,232.18
  5. Step 5: Solve for x
    x = 319,976,657,232.18/580,223.80
  6. Step 6: Final answer
    x = 551,471.10

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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.