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Finding the Fourth Proportional to 326,063.10, 489,094.65 and 214,088.70

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Solution

The fourth proportional to 326,063.10, 489,094.65 and 214,088.70 is: 321,133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,063.10 : 489,094.65 = 214,088.70 : x
  2. Step 2: Convert to fraction form
    326,063.10/489,094.65 = 214,088.70/x
  3. Step 3: Cross multiply
    326,063.10x = 489,094.65 × 214,088.70
  4. Step 4: Simplify right side
    326,063.10x = 104,709,637,795.46
  5. Step 5: Solve for x
    x = 104,709,637,795.46/326,063.10
  6. Step 6: Final answer
    x = 321,133.05

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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.