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Finding the Fourth Proportional to 470,456.93, 649,227.06 and 255,598.76

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Solution

The fourth proportional to 470,456.93, 649,227.06 and 255,598.76 is: 352,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,456.93 : 649,227.06 = 255,598.76 : x
  2. Step 2: Convert to fraction form
    470,456.93/649,227.06 = 255,598.76/x
  3. Step 3: Cross multiply
    470,456.93x = 649,227.06 × 255,598.76
  4. Step 4: Simplify right side
    470,456.93x = 165,941,628,248.31
  5. Step 5: Solve for x
    x = 165,941,628,248.31/470,456.93
  6. Step 6: Final answer
    x = 352,724.38

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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.