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Finding the Fourth Proportional to 470,315.39, 649,038.62 and 255,455.46

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Solution

The fourth proportional to 470,315.39, 649,038.62 and 255,455.46 is: 352,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,315.39 : 649,038.62 = 255,455.46 : x
  2. Step 2: Convert to fraction form
    470,315.39/649,038.62 = 255,455.46/x
  3. Step 3: Cross multiply
    470,315.39x = 649,038.62 × 255,455.46
  4. Step 4: Simplify right side
    470,315.39x = 165,800,459,868.50
  5. Step 5: Solve for x
    x = 165,800,459,868.50/470,315.39
  6. Step 6: Final answer
    x = 352,530.38

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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.