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Finding the Fourth Proportional to 432,489.74, 648,852.96 and 208,037.93

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Solution

The fourth proportional to 432,489.74, 648,852.96 and 208,037.93 is: 312,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,489.74 : 648,852.96 = 208,037.93 : x
  2. Step 2: Convert to fraction form
    432,489.74/648,852.96 = 208,037.93/x
  3. Step 3: Cross multiply
    432,489.74x = 648,852.96 × 208,037.93
  4. Step 4: Simplify right side
    432,489.74x = 134,986,023,428.51
  5. Step 5: Solve for x
    x = 134,986,023,428.51/432,489.74
  6. Step 6: Final answer
    x = 312,113.82

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1.5x scale

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.