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Finding the Fourth Proportional to 700,233.14, 966,334.05 and 413,752.46

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Solution

The fourth proportional to 700,233.14, 966,334.05 and 413,752.46 is: 570,985.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,233.14 : 966,334.05 = 413,752.46 : x
  2. Step 2: Convert to fraction form
    700,233.14/966,334.05 = 413,752.46/x
  3. Step 3: Cross multiply
    700,233.14x = 966,334.05 × 413,752.46
  4. Step 4: Simplify right side
    700,233.14x = 399,823,090,369.26
  5. Step 5: Solve for x
    x = 399,823,090,369.26/700,233.14
  6. Step 6: Final answer
    x = 570,985.67

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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.