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Finding the Fourth Proportional to 463,903.39, 695,746.54 and 261,586.86

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Solution

The fourth proportional to 463,903.39, 695,746.54 and 261,586.86 is: 392,319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,903.39 : 695,746.54 = 261,586.86 : x
  2. Step 2: Convert to fraction form
    463,903.39/695,746.54 = 261,586.86/x
  3. Step 3: Cross multiply
    463,903.39x = 695,746.54 × 261,586.86
  4. Step 4: Simplify right side
    463,903.39x = 181,998,152,754.46
  5. Step 5: Solve for x
    x = 181,998,152,754.46/463,903.39
  6. Step 6: Final answer
    x = 392,319.08

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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.