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Finding the Fourth Proportional to 597,697.32, 824,798.10 and 325,759.32

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Solution

The fourth proportional to 597,697.32, 824,798.10 and 325,759.32 is: 449,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,697.32 : 824,798.10 = 325,759.32 : x
  2. Step 2: Convert to fraction form
    597,697.32/824,798.10 = 325,759.32/x
  3. Step 3: Cross multiply
    597,697.32x = 824,798.10 × 325,759.32
  4. Step 4: Simplify right side
    597,697.32x = 268,685,668,193.29
  5. Step 5: Solve for x
    x = 268,685,668,193.29/597,697.32
  6. Step 6: Final answer
    x = 449,534.67

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Double scale
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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.