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Finding the Fourth Proportional to 289,040.60, 433,301.70 and 257,547.80

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Solution

The fourth proportional to 289,040.60, 433,301.70 and 257,547.80 is: 386,090.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,040.60 : 433,301.70 = 257,547.80 : x
  2. Step 2: Convert to fraction form
    289,040.60/433,301.70 = 257,547.80/x
  3. Step 3: Cross multiply
    289,040.60x = 433,301.70 × 257,547.80
  4. Step 4: Simplify right side
    289,040.60x = 111,595,899,571.26
  5. Step 5: Solve for x
    x = 111,595,899,571.26/289,040.60
  6. Step 6: Final answer
    x = 386,090.74

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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.