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Finding the Fourth Proportional to 470,510.51, 649,295.16 and 255,652.12

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Solution

The fourth proportional to 470,510.51, 649,295.16 and 255,652.12 is: 352,794.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,510.51 : 649,295.16 = 255,652.12 : x
  2. Step 2: Convert to fraction form
    470,510.51/649,295.16 = 255,652.12/x
  3. Step 3: Cross multiply
    470,510.51x = 649,295.16 × 255,652.12
  4. Step 4: Simplify right side
    470,510.51x = 165,993,680,913.26
  5. Step 5: Solve for x
    x = 165,993,680,913.26/470,510.51
  6. Step 6: Final answer
    x = 352,794.84

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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.