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Finding the Fourth Proportional to 523,006.34, 784,509.52 and 365,542.34

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Solution

The fourth proportional to 523,006.34, 784,509.52 and 365,542.34 is: 548,313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,006.34 : 784,509.52 = 365,542.34 : x
  2. Step 2: Convert to fraction form
    523,006.34/784,509.52 = 365,542.34/x
  3. Step 3: Cross multiply
    523,006.34x = 784,509.52 × 365,542.34
  4. Step 4: Simplify right side
    523,006.34x = 286,771,445,693.08
  5. Step 5: Solve for x
    x = 286,771,445,693.08/523,006.34
  6. Step 6: Final answer
    x = 548,313.52

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Similar ratio
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1.5x scale

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.