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Finding the Fourth Proportional to 313,971.67, 433,128.63 and 186,557.05

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Solution

The fourth proportional to 313,971.67, 433,128.63 and 186,557.05 is: 257,358.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,971.67 : 433,128.63 = 186,557.05 : x
  2. Step 2: Convert to fraction form
    313,971.67/433,128.63 = 186,557.05/x
  3. Step 3: Cross multiply
    313,971.67x = 433,128.63 × 186,557.05
  4. Step 4: Simplify right side
    313,971.67x = 80,803,199,483.34
  5. Step 5: Solve for x
    x = 80,803,199,483.34/313,971.67
  6. Step 6: Final answer
    x = 257,358.25

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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.