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Finding the Fourth Proportional to 468,432.92, 646,810.10 and 432,609.86

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Solution

The fourth proportional to 468,432.92, 646,810.10 and 432,609.86 is: 597,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,432.92 : 646,810.10 = 432,609.86 : x
  2. Step 2: Convert to fraction form
    468,432.92/646,810.10 = 432,609.86/x
  3. Step 3: Cross multiply
    468,432.92x = 646,810.10 × 432,609.86
  4. Step 4: Simplify right side
    468,432.92x = 279,816,421,410.49
  5. Step 5: Solve for x
    x = 279,816,421,410.49/468,432.92
  6. Step 6: Final answer
    x = 597,345.77

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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.