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Finding the Fourth Proportional to 1,541,974.92, 2,303,590.98 and 997,798.02

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Solution

The fourth proportional to 1,541,974.92, 2,303,590.98 and 997,798.02 is: 1,490,632.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541,974.92 : 2,303,590.98 = 997,798.02 : x
  2. Step 2: Convert to fraction form
    1,541,974.92/2,303,590.98 = 997,798.02/x
  3. Step 3: Cross multiply
    1,541,974.92x = 2,303,590.98 × 997,798.02
  4. Step 4: Simplify right side
    1,541,974.92x = 2,298,518,518,733.86
  5. Step 5: Solve for x
    x = 2,298,518,518,733.86/1,541,974.92
  6. Step 6: Final answer
    x = 1,490,632.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.