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Finding the Fourth Proportional to 700,741.46, 967,023.13 and 378,451.57

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Solution

The fourth proportional to 700,741.46, 967,023.13 and 378,451.57 is: 522,263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,741.46 : 967,023.13 = 378,451.57 : x
  2. Step 2: Convert to fraction form
    700,741.46/967,023.13 = 378,451.57/x
  3. Step 3: Cross multiply
    700,741.46x = 967,023.13 × 378,451.57
  4. Step 4: Simplify right side
    700,741.46x = 365,971,421,774.81
  5. Step 5: Solve for x
    x = 365,971,421,774.81/700,741.46
  6. Step 6: Final answer
    x = 522,263.12

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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.