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Finding the Fourth Proportional to 700,319.45, 966,401.20 and 413,866.19

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Solution

The fourth proportional to 700,319.45, 966,401.20 and 413,866.19 is: 571,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,319.45 : 966,401.20 = 413,866.19 : x
  2. Step 2: Convert to fraction form
    700,319.45/966,401.20 = 413,866.19/x
  3. Step 3: Cross multiply
    700,319.45x = 966,401.20 × 413,866.19
  4. Step 4: Simplify right side
    700,319.45x = 399,960,782,655.43
  5. Step 5: Solve for x
    x = 399,960,782,655.43/700,319.45
  6. Step 6: Final answer
    x = 571,111.92

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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.