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Finding the Fourth Proportional to 434,113.64, 651,392.51 and 206,666.24

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Solution

The fourth proportional to 434,113.64, 651,392.51 and 206,666.24 is: 310,105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,113.64 : 651,392.51 = 206,666.24 : x
  2. Step 2: Convert to fraction form
    434,113.64/651,392.51 = 206,666.24/x
  3. Step 3: Cross multiply
    434,113.64x = 651,392.51 × 206,666.24
  4. Step 4: Simplify right side
    434,113.64x = 134,620,841,401.01
  5. Step 5: Solve for x
    x = 134,620,841,401.01/434,113.64
  6. Step 6: Final answer
    x = 310,105.08

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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.