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Finding the Fourth Proportional to 432,097.92, 597,025.92 and 310,999.68

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Solution

The fourth proportional to 432,097.92, 597,025.92 and 310,999.68 is: 429,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,097.92 : 597,025.92 = 310,999.68 : x
  2. Step 2: Convert to fraction form
    432,097.92/597,025.92 = 310,999.68/x
  3. Step 3: Cross multiply
    432,097.92x = 597,025.92 × 310,999.68
  4. Step 4: Simplify right side
    432,097.92x = 185,674,870,071.71
  5. Step 5: Solve for x
    x = 185,674,870,071.71/432,097.92
  6. Step 6: Final answer
    x = 429,705.54

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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.