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Finding the Fourth Proportional to 470,307.94, 649,029.72 and 255,452.20

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Solution

The fourth proportional to 470,307.94, 649,029.72 and 255,452.20 is: 352,526.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,307.94 : 649,029.72 = 255,452.20 : x
  2. Step 2: Convert to fraction form
    470,307.94/649,029.72 = 255,452.20/x
  3. Step 3: Cross multiply
    470,307.94x = 649,029.72 × 255,452.20
  4. Step 4: Simplify right side
    470,307.94x = 165,796,069,839.38
  5. Step 5: Solve for x
    x = 165,796,069,839.38/470,307.94
  6. Step 6: Final answer
    x = 352,526.62

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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.