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Finding the Fourth Proportional to 288,024.80, 397,545.37 and 174,942.32

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Solution

The fourth proportional to 288,024.80, 397,545.37 and 174,942.32 is: 241,463.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,024.80 : 397,545.37 = 174,942.32 : x
  2. Step 2: Convert to fraction form
    288,024.80/397,545.37 = 174,942.32/x
  3. Step 3: Cross multiply
    288,024.80x = 397,545.37 × 174,942.32
  4. Step 4: Simplify right side
    288,024.80x = 69,547,506,907.98
  5. Step 5: Solve for x
    x = 69,547,506,907.98/288,024.80
  6. Step 6: Final answer
    x = 241,463.61

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1.5x scale

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.