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Finding the Fourth Proportional to 600,269.10, 828,442.80 and 345,669.90

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Solution

The fourth proportional to 600,269.10, 828,442.80 and 345,669.90 is: 477,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,269.10 : 828,442.80 = 345,669.90 : x
  2. Step 2: Convert to fraction form
    600,269.10/828,442.80 = 345,669.90/x
  3. Step 3: Cross multiply
    600,269.10x = 828,442.80 × 345,669.90
  4. Step 4: Simplify right side
    600,269.10x = 286,367,739,831.72
  5. Step 5: Solve for x
    x = 286,367,739,831.72/600,269.10
  6. Step 6: Final answer
    x = 477,065.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.